0.456=-0.3(7n-31.2)

what is the variable?

Rewrite the equation as;

-0.3(7n - 31.2) = 0.456

Divide each term by 0.3 and simplify;

-7n + 31.2 = 1.52

Move all terms not containing n to the right side of the equation;

-7n = -29.68

Divide each term by -7 and simplify;

n = 4.24

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)