How do you solve 2x^2 + 18x = 20?

1 Answer
May 16, 2017

x=-10
x=1

Explanation:

In order to solve this you must factor it.
1. Subtract the 20 to the left side of the equation.

2x^2+18x-20=0

  1. Divide all by 2 in order to isolate the x^2

(cancel(2)(x^2+9x-10))/cancel(2)=0/2

  1. Factor.
    You must find 2 numbers that add to 9 and multiply to -10.

Those two factors would 10 and -1.

add them to x and set to 0

(x+10)(x+ -1)=0

color(white)(0)x + 10 = 0 color(white)(0000)andcolor(white)(000)x + -1 = 0

  1. Solve.
    x=-10
    x=1