6(x+4)(x-4)+26=0

Solution for 6(x+4)(x-4)+26=0 equation:

Simplifying
6(x + 4)(x + -4) + 26 = 0

Reorder the terms:
6(4 + x)(x + -4) + 26 = 0

Reorder the terms:
6(4 + x)(-4 + x) + 26 = 0

Multiply (4 + x) * (-4 + x)
6(4(-4 + x) + x(-4 + x)) + 26 = 0
6((-4 * 4 + x * 4) + x(-4 + x)) + 26 = 0
6((-16 + 4x) + x(-4 + x)) + 26 = 0
6(-16 + 4x + (-4 * x + x * x)) + 26 = 0
6(-16 + 4x + (-4x + x2)) + 26 = 0

Combine like terms: 4x + -4x = 0
6(-16 + 0 + x2) + 26 = 0
6(-16 + x2) + 26 = 0
(-16 * 6 + x2 * 6) + 26 = 0
(-96 + 6x2) + 26 = 0

Reorder the terms:
-96 + 26 + 6x2 = 0

Combine like terms: -96 + 26 = -70
-70 + 6x2 = 0

Solving
-70 + 6x2 = 0

Solving for variable 'x'.

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

Add '70' to each side of the equation.
-70 + 70 + 6x2 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 6x2 = 0 + 70
6x2 = 0 + 70

Combine like terms: 0 + 70 = 70
6x2 = 70

Divide each side by '6'.
x2 = 11.66666667

Simplifying
x2 = 11.66666667

Take the square root of each side:
x = {-3.415650256, 3.415650256}