(6x-4)(2x+6)-28x=0

Solution for (6x-4)(2x+6)-28x=0 equation:

Simplifying
(6x + -4)(2x + 6) + -28x = 0

Reorder the terms:
(-4 + 6x)(2x + 6) + -28x = 0

Reorder the terms:
(-4 + 6x)(6 + 2x) + -28x = 0

Multiply (-4 + 6x) * (6 + 2x)
(-4(6 + 2x) + 6x * (6 + 2x)) + -28x = 0
((6 * -4 + 2x * -4) + 6x * (6 + 2x)) + -28x = 0
((-24 + -8x) + 6x * (6 + 2x)) + -28x = 0
(-24 + -8x + (6 * 6x + 2x * 6x)) + -28x = 0
(-24 + -8x + (36x + 12x2)) + -28x = 0

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

Reorder the terms:
-24 + 28x + -28x + 12x2 = 0

Combine like terms: 28x + -28x = 0
-24 + 0 + 12x2 = 0
-24 + 12x2 = 0

Solving
-24 + 12x2 = 0

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 12x2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 12x2 = 0 + 24
12x2 = 0 + 24

Combine like terms: 0 + 24 = 24
12x2 = 24

Divide each side by '12'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}