(x-4)(x+2)=-4(x-4)

Simple and best practice solution for (x-4)(x+2)=-4(x-4) 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-4)(x+2)=-4(x-4) equation: 


Simplifying
(x + -4)(x + 2) = -4(x + -4)

Reorder the terms:
(-4 + x)(x + 2) = -4(x + -4)

Reorder the terms:
(-4 + x)(2 + x) = -4(x + -4)

Multiply (-4 + x) * (2 + x)
(-4(2 + x) + x(2 + x)) = -4(x + -4)
((2 * -4 + x * -4) + x(2 + x)) = -4(x + -4)
((-8 + -4x) + x(2 + x)) = -4(x + -4)
(-8 + -4x + (2 * x + x * x)) = -4(x + -4)
(-8 + -4x + (2x + x2)) = -4(x + -4)

Combine like terms: -4x + 2x = -2x
(-8 + -2x + x2) = -4(x + -4)

Reorder the terms:
-8 + -2x + x2 = -4(-4 + x)
-8 + -2x + x2 = (-4 * -4 + x * -4)
-8 + -2x + x2 = (16 + -4x)

Solving
-8 + -2x + x2 = 16 + -4x

Solving for variable 'x'.

Reorder the terms:
-8 + -16 + -2x + 4x + x2 = 16 + -4x + -16 + 4x

Combine like terms: -8 + -16 = -24
-24 + -2x + 4x + x2 = 16 + -4x + -16 + 4x

Combine like terms: -2x + 4x = 2x
-24 + 2x + x2 = 16 + -4x + -16 + 4x

Reorder the terms:
-24 + 2x + x2 = 16 + -16 + -4x + 4x

Combine like terms: 16 + -16 = 0
-24 + 2x + x2 = 0 + -4x + 4x
-24 + 2x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 2x + x2 = 0

Factor a trinomial.
(-6 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-6, 4}

See similar equations:

| 11y=19y-7 | | 4y-9=24-4y | | 2s-12+25=4s-12 | | 7y=42y+15 | | 10(-60)-6y=-60 | | .5m*6p*n= | | 200.00+0.05=75.00+0.10 | | 32n=12 | | 7y=42y+5 | | 200+0.05x=400 | | -2(x-1)=2(3x-7) | | -0.25(y+5)=11x | | 0.5x+0.5=0.8x-0.1 | | 3(-15)-5y=-15 | | 2b*a*a= | | log(4x+9)=1+log(x-4) | | (4c+6)(4c-6)= | | 4a(9a+5)=0 | | 7=4+3b | | 3x+2y=100 | | -31=4+5x | | 8x+6=-66 | | 9(-27)-3y=-27 | | 8(x-3)=-6(x+4)+32 | | -2(x+4)+2(3-2x)=2(x+11) | | 5x=8+3(x-2) | | -2+x=x+2 | | 2-n+1=5 | | X(x+2)=x+(x+6)+(x+4) | | 6x+0=46 | | -2(7y+8)= | | 4t-8=3(t+4) |

Equations solver categories