3(x-5)(x+5)+6=54

Solution for 3(x-5)(x+5)+6=54 equation:

Simplifying
3(x + -5)(x + 5) + 6 = 54

Reorder the terms:
3(-5 + x)(x + 5) + 6 = 54

Reorder the terms:
3(-5 + x)(5 + x) + 6 = 54

Multiply (-5 + x) * (5 + x)
3(-5(5 + x) + x(5 + x)) + 6 = 54
3((5 * -5 + x * -5) + x(5 + x)) + 6 = 54
3((-25 + -5x) + x(5 + x)) + 6 = 54
3(-25 + -5x + (5 * x + x * x)) + 6 = 54
3(-25 + -5x + (5x + x2)) + 6 = 54

Combine like terms: -5x + 5x = 0
3(-25 + 0 + x2) + 6 = 54
3(-25 + x2) + 6 = 54
(-25 * 3 + x2 * 3) + 6 = 54
(-75 + 3x2) + 6 = 54

Reorder the terms:
-75 + 6 + 3x2 = 54

Combine like terms: -75 + 6 = -69
-69 + 3x2 = 54

Solving
-69 + 3x2 = 54

Solving for variable 'x'.

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

Add '69' to each side of the equation.
-69 + 69 + 3x2 = 54 + 69

Combine like terms: -69 + 69 = 0
0 + 3x2 = 54 + 69
3x2 = 54 + 69

Combine like terms: 54 + 69 = 123
3x2 = 123

Divide each side by '3'.
x2 = 41

Simplifying
x2 = 41

Take the square root of each side:
x = {-6.403124237, 6.403124237}