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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