(x-2)(x+1)=0

Simple and best practice solution for (x-2)(x+1)=0 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 (x-2)(x+1)=0 equation:


Simplifying
(x + -2)(x + 1) = 0

Reorder the terms:
(-2 + x)(x + 1) = 0

Reorder the terms:
(-2 + x)(1 + x) = 0

Multiply (-2 + x) * (1 + x)
(-2(1 + x) + x(1 + x)) = 0
((1 * -2 + x * -2) + x(1 + x)) = 0
((-2 + -2x) + x(1 + x)) = 0
(-2 + -2x + (1 * x + x * x)) = 0
(-2 + -2x + (1x + x2)) = 0

Combine like terms: -2x + 1x = -1x
(-2 + -1x + x2) = 0

Solving
-2 + -1x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-1, 2}

See similar equations:

| 60-7x=2x+21 | | -134-7x=10x+19 | | 126-5x=4x+9 | | -2-5x=7-8x | | x^2-13x+12=0 | | 8x+5=2(3x-6) | | 12x=54 | | -6Y+7=3y-10 | | 4-7f=-12 | | d-8=-2 | | (2x-1)(x+4)=18 | | -x^2+2x+2=0 | | w^2-2w=15 | | 112-3x=24x+16 | | 14-9x=95-30x | | 4x+3y=96 | | -38-10x=8x+16 | | 5x+9=-56+8x | | 97-4x=2x+13 | | m^2-4m+5=0 | | 3x+10=50-2x | | 2x+1y=13 | | 2x+26=9x-58 | | w^2-2w-15=0 | | -16t^2-64t+480=0 | | 5x-27=13 | | (2x+1)(x-5)=2(x^2-1) | | 6x+27=14x-69 | | 18x+1-3x=1 | | (3x+3)(x+3)=360 | | x+(x*0.24)=45.18 | | 6x+1=10x-9 |

Equations solver categories