Will mark brainliest if right!

what are the roots of the equation?

x^2=10−3x

2, -5

Step-by-step explanation:

You can find the roots by solving for x.

Let's solve your equation step-by-step.

x2=10−3x

Step 1: Simplify both sides of the equation.

x2=−3x+10

Step 2: Subtract -3x+10 from both sides.

x2−(−3x+10)=−3x+10−(−3x+10)

x2+3x−10=0

Step 3: Factor left side of equation.

(x−2)(x+5)=0

Step 4: Set factors equal to 0.

x−2=0 or x+5=0

x=2 or x=−5

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2