(x-6)(x+4)=-3(x+4)

Simple and best practice solution for (x-6)(x+4)=-3(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-6)(x+4)=-3(x+4) equation: 


Simplifying
(x + -6)(x + 4) = -3(x + 4)

Reorder the terms:
(-6 + x)(x + 4) = -3(x + 4)

Reorder the terms:
(-6 + x)(4 + x) = -3(x + 4)

Multiply (-6 + x) * (4 + x)
(-6(4 + x) + x(4 + x)) = -3(x + 4)
((4 * -6 + x * -6) + x(4 + x)) = -3(x + 4)
((-24 + -6x) + x(4 + x)) = -3(x + 4)
(-24 + -6x + (4 * x + x * x)) = -3(x + 4)
(-24 + -6x + (4x + x2)) = -3(x + 4)

Combine like terms: -6x + 4x = -2x
(-24 + -2x + x2) = -3(x + 4)

Reorder the terms:
-24 + -2x + x2 = -3(4 + x)
-24 + -2x + x2 = (4 * -3 + x * -3)
-24 + -2x + x2 = (-12 + -3x)

Solving
-24 + -2x + x2 = -12 + -3x

Solving for variable 'x'.

Reorder the terms:
-24 + 12 + -2x + 3x + x2 = -12 + -3x + 12 + 3x

Combine like terms: -24 + 12 = -12
-12 + -2x + 3x + x2 = -12 + -3x + 12 + 3x

Combine like terms: -2x + 3x = 1x
-12 + 1x + x2 = -12 + -3x + 12 + 3x

Reorder the terms:
-12 + 1x + x2 = -12 + 12 + -3x + 3x

Combine like terms: -12 + 12 = 0
-12 + 1x + x2 = 0 + -3x + 3x
-12 + 1x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 1x + x2 = 0

Factor a trinomial.
(-4 + -1x)(3 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-4, 3}

See similar equations:

| 8x^2-14x=-3 | | 8x-14x=-3 | | -8-5y=-9y | | -9*-8*-5= | | -2(6+5)=-15-2s | | -7*10*10= | | 3*-9= | | 375=x-28 | | 5(x+3)=3(x+3)+6 | | 20x-8=32x+1 | | x^2+6xy+9=0 | | -60/-10 | | (-4)1/2 | | 4m^2+4=8m | | y^2-21=0 | | 8x-6x=-16 | | 16=-d+8 | | -80/8 | | 17+6m=-6(1-5m)-1 | | n-16-8n=-10 | | (Y+4/Y+2)/(4/y+2)+(y/2) | | 4.603-1.842=3.651y | | 14/3=7/4v-3/2+3/2 | | 2-45y^2=12 | | 7(x-1)-3+5x=3(4x-3)+x | | 2x-14+x+8=180 | | 8+y^2+2y=0 | | -6x+3y=-21 | | 2x=42-8 | | 35+48/8x7 | | -14.00+15x= | | 0.09x=1650-0.12(x+5000) |

Equations solver categories