=(6x+8)(x-6)

Solution for =(6x+8)(x-6) equation:

Simplifying
0 = (6x + 8)(x + -6)

Reorder the terms:
0 = (8 + 6x)(x + -6)

Reorder the terms:
0 = (8 + 6x)(-6 + x)

Multiply (8 + 6x) * (-6 + x)
0 = (8(-6 + x) + 6x * (-6 + x))
0 = ((-6 * 8 + x * 8) + 6x * (-6 + x))
0 = ((-48 + 8x) + 6x * (-6 + x))
0 = (-48 + 8x + (-6 * 6x + x * 6x))
0 = (-48 + 8x + (-36x + 6x2))

Combine like terms: 8x + -36x = -28x
0 = (-48 + -28x + 6x2)

Solving
0 = -48 + -28x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + 48 = 48
48 + 28x + -6x2 = -48 + -28x + 6x2 + 48 + 28x + -6x2

Reorder the terms:
48 + 28x + -6x2 = -48 + 48 + -28x + 28x + 6x2 + -6x2

Combine like terms: -48 + 48 = 0
48 + 28x + -6x2 = 0 + -28x + 28x + 6x2 + -6x2
48 + 28x + -6x2 = -28x + 28x + 6x2 + -6x2

Combine like terms: -28x + 28x = 0
48 + 28x + -6x2 = 0 + 6x2 + -6x2
48 + 28x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
48 + 28x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + 14x + -3x2) = 0

Factor a trinomial.
2((6 + -1x)(4 + 3x)) = 0

Ignore the factor 2.
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 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 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 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {6, -1.333333333}