(6x-4)(2x+6)=

Simple and best practice solution for (6x-4)(2x+6)= 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 (6x-4)(2x+6)= equation: 


Simplifying
(6x + -4)(2x + 6) = 0

Reorder the terms:
(-4 + 6x)(2x + 6) = 0

Reorder the terms:
(-4 + 6x)(6 + 2x) = 0

Multiply (-4 + 6x) * (6 + 2x)
(-4(6 + 2x) + 6x * (6 + 2x)) = 0
((6 * -4 + 2x * -4) + 6x * (6 + 2x)) = 0
((-24 + -8x) + 6x * (6 + 2x)) = 0
(-24 + -8x + (6 * 6x + 2x * 6x)) = 0
(-24 + -8x + (36x + 12x2)) = 0

Combine like terms: -8x + 36x = 28x
(-24 + 28x + 12x2) = 0

Solving
-24 + 28x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 7x + 3x2) = 0

Factor a trinomial.
4((-3 + -1x)(2 + -3x)) = 0

Ignore the factor 4.

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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-3, 0.6666666667}

See similar equations:

| 2x^2+8x-31=0 | | 2x^3-12x^2-32=0 | | -3h+1=-14 | | 2ln(3x-1)-5=0 | | 6=-1(-5-x) | | 8x-15=5x+8 | | s*5+39=164 | | 4*x^2+9*y^2+-32*x+-36*y+64=0 | | 5x+19=14x+80 | | 4x^2+9y^2+-32x+-36y+64=0 | | w-0.25w=w | | -5y+9=-41 | | w-0.25w= | | -3y+7=28 | | 1/3(12-24x)=-2(4x-2) | | 8x+2=54 | | Bs=5x-4 | | 9x-15=79.5 | | 2n+4=n+5 | | 90=x^2+9 | | -5+7=-13 | | 13(t-3)+8t=7(3t+4)-8 | | 9d-4d+3d-2=2d | | -3y=x+7 | | 15m+4=148 | | 2x+8-5x=4x-9+15 | | x^2-3x+5=y | | x+(x+2)=98 | | x(x+-5)=6 | | 8-(2x+1)=3 | | -8y=13y-17 | | 4j-3= |

Equations solver categories