Question

Solve each quadratic equation.

Problem: x^2 + 3x = 10
Answer: x = 2, -5

Can you please show me how to solve it? Show your work!
Work it out!

Answer 1

x^2 +3x = 10 subtract from both sides 10 and will get

x^2 +3x -10 = 10 -10

x^2 +3x -10 = 0

x*x +5x -2x +5(-2) = 0

x(x+5) -2(x+5) = 0

(x+5)(x-2) =0

x +5 =0
x = -5

x-2 =0
x = 2