6((x-1)(x-1)-(x^2-1))+2(15-x)=0

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Solution for 6((x-1)(x-1)-(x^2-1))+2(15-x)=0 equation: 


Simplifying
6((x + -1)(x + -1) + -1(x2 + -1)) + 2(15 + -1x) = 0

Reorder the terms:
6((-1 + x)(x + -1) + -1(x2 + -1)) + 2(15 + -1x) = 0

Reorder the terms:
6((-1 + x)(-1 + x) + -1(x2 + -1)) + 2(15 + -1x) = 0

Multiply (-1 + x) * (-1 + x)
6((-1(-1 + x) + x(-1 + x)) + -1(x2 + -1)) + 2(15 + -1x) = 0
6(((-1 * -1 + x * -1) + x(-1 + x)) + -1(x2 + -1)) + 2(15 + -1x) = 0
6(((1 + -1x) + x(-1 + x)) + -1(x2 + -1)) + 2(15 + -1x) = 0
6((1 + -1x + (-1 * x + x * x)) + -1(x2 + -1)) + 2(15 + -1x) = 0
6((1 + -1x + (-1x + x2)) + -1(x2 + -1)) + 2(15 + -1x) = 0

Combine like terms: -1x + -1x = -2x
6((1 + -2x + x2) + -1(x2 + -1)) + 2(15 + -1x) = 0

Reorder the terms:
6(1 + -2x + x2 + -1(-1 + x2)) + 2(15 + -1x) = 0
6(1 + -2x + x2 + (-1 * -1 + x2 * -1)) + 2(15 + -1x) = 0
6(1 + -2x + x2 + (1 + -1x2)) + 2(15 + -1x) = 0

Reorder the terms:
6(1 + 1 + -2x + x2 + -1x2) + 2(15 + -1x) = 0

Combine like terms: 1 + 1 = 2
6(2 + -2x + x2 + -1x2) + 2(15 + -1x) = 0

Combine like terms: x2 + -1x2 = 0
6(2 + -2x + 0) + 2(15 + -1x) = 0
6(2 + -2x) + 2(15 + -1x) = 0
(2 * 6 + -2x * 6) + 2(15 + -1x) = 0
(12 + -12x) + 2(15 + -1x) = 0
12 + -12x + (15 * 2 + -1x * 2) = 0
12 + -12x + (30 + -2x) = 0

Reorder the terms:
12 + 30 + -12x + -2x = 0

Combine like terms: 12 + 30 = 42
42 + -12x + -2x = 0

Combine like terms: -12x + -2x = -14x
42 + -14x = 0

Solving
42 + -14x = 0

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + -14x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -14x = 0 + -42
-14x = 0 + -42

Combine like terms: 0 + -42 = -42
-14x = -42

Divide each side by '-14'.
x = 3

Simplifying
x = 3

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