STEP
1
:
5
Simplify โ
4
Equation at the end of step
1
:
75 5
(โโโ โข (e + 8)) - (2 - (โ โข e)) = 0
100 4
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
2 2 โข 4
2 = โ = โโโโโ
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2 โข 4 - (5e) 8 - 5e
โโโโโโโโโโโโ = โโโโโโ
4 4
Equation at the end of step
2
:
75 (8 - 5e)
(โโโ โข (e + 8)) - โโโโโโโโ = 0
100 4
STEP
3
:
3
Simplify โ
4
Equation at the end of step
3
:
3 (8 - 5e)
(โ โข (e + 8)) - โโโโโโโโ = 0
4 4
STEP
4
:
Equation at the end of step 4
3 โข (e + 8) (8 - 5e)
โโโโโโโโโโโ - โโโโโโโโ = 0
4 4
STEP
5
:
Adding fractions which have a common denominator
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3 โข (e+8) - ((8-5e)) 8e + 16
โโโโโโโโโโโโโโโโโโโโ = โโโโโโโ
4 4
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
8e + 16 = 8 โข (e + 2)
Equation at the end of step
6
:
8 โข (e + 2)
โโโโโโโโโโโ = 0
4
STEP
7
:
When a fraction equals zero
7.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
8โข(e+2)
โโโโโโโ โข 4 = 0 โข 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
8 โข (e+2) = 0
Equations which are never true:
7.2 Solve : 8 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
7.3 Solve : e+2 = 0
Subtract 2 from both sides of the equation :
e = -2
I hope this help you
