(2x-3)(x+2)=9

Simple and best practice solution for (2x-3)(x+2)=9 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2x-3)(x+2)=9 equation:


Simplifying
(2x + -3)(x + 2) = 9

Reorder the terms:
(-3 + 2x)(x + 2) = 9

Reorder the terms:
(-3 + 2x)(2 + x) = 9

Multiply (-3 + 2x) * (2 + x)
(-3(2 + x) + 2x * (2 + x)) = 9
((2 * -3 + x * -3) + 2x * (2 + x)) = 9
((-6 + -3x) + 2x * (2 + x)) = 9
(-6 + -3x + (2 * 2x + x * 2x)) = 9
(-6 + -3x + (4x + 2x2)) = 9

Combine like terms: -3x + 4x = 1x
(-6 + 1x + 2x2) = 9

Solving
-6 + 1x + 2x2 = 9

Solving for variable 'x'.

Reorder the terms:
-6 + -9 + 1x + 2x2 = 9 + -9

Combine like terms: -6 + -9 = -15
-15 + 1x + 2x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-15 + 1x + 2x2 = 0

Factor a trinomial.
(-3 + -1x)(5 + -2x) = 0

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Solution

x = {-3, 2.5}

See similar equations:

| 3x-1-7=-10+x | | -4+4v=-4+4v | | 9y-4=3y+8 | | -b-2=2b-4b | | 6=24-9y | | 2x+5y=-20graph | | -6n+14=-3n-7 | | -6x-1-6=-6x-7 | | 7-c=15 | | 6x+20=4x+36 | | 15+2m=106 | | 7-c=22 | | 3r+7=-3+r-5-3r | | 5+4=10d | | -m-3=-3+6m | | 9=3+3g | | .8x+.3=9 | | -4+5=6f | | 7-3=4x | | n+3-6=-10+n | | 5x-11=3x+3 | | X-4=2x-11 | | 30m+870=1200 | | 14+2p=6p-2p | | 10c+19.95=139.95 | | 8m-3=7 | | 3(y+5)=9 | | -5(1-5x)+5(-8x-2)=4x-8x | | 20x-10+9x+4=180 | | 3x-8=2x+2 | | 28=10a-5a-2 | | 23-4x=27 |

Equations solver categories