6x*5x-((6x-2x)*(5x-2x))=18

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Solution for 6x*5x-((6x-2x)*(5x-2x))=18 equation: 


Simplifying
6x * 5x + -1((6x + -2x)(5x + -2x)) = 18

Reorder the terms for easier multiplication:
6 * 5x * x + -1((6x + -2x)(5x + -2x)) = 18

Multiply 6 * 5
30x * x + -1((6x + -2x)(5x + -2x)) = 18

Multiply x * x
30x2 + -1((6x + -2x)(5x + -2x)) = 18

Combine like terms: 6x + -2x = 4x
30x2 + -1((4x)(5x + -2x)) = 18

Remove parenthesis around (4x)
30x2 + -1(4x(5x + -2x)) = 18

Combine like terms: 5x + -2x = 3x
30x2 + -1(4x(3x)) = 18

Remove parenthesis around (3x)
30x2 + -1(4x * 3x) = 18

Reorder the terms for easier multiplication:
30x2 + -1(4 * 3x * x) = 18

Multiply 4 * 3
30x2 + -1(12x * x) = 18

Multiply x * x
30x2 + -1(12x2) = 18

Remove parenthesis around (12x2)
30x2 + -1 * 12x2 = 18

Multiply -1 * 12
30x2 + -12x2 = 18

Combine like terms: 30x2 + -12x2 = 18x2
18x2 = 18

Solving
18x2 = 18

Solving for variable 'x'.

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

Divide each side by '18'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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