7(x-4)(x-4)-3(x+5)(x+5)=4(x+1)(x-1)-2

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Solution for 7(x-4)(x-4)-3(x+5)(x+5)=4(x+1)(x-1)-2 equation: 


Simplifying
7(x + -4)(x + -4) + -3(x + 5)(x + 5) = 4(x + 1)(x + -1) + -2

Reorder the terms:
7(-4 + x)(x + -4) + -3(x + 5)(x + 5) = 4(x + 1)(x + -1) + -2

Reorder the terms:
7(-4 + x)(-4 + x) + -3(x + 5)(x + 5) = 4(x + 1)(x + -1) + -2

Multiply (-4 + x) * (-4 + x)
7(-4(-4 + x) + x(-4 + x)) + -3(x + 5)(x + 5) = 4(x + 1)(x + -1) + -2
7((-4 * -4 + x * -4) + x(-4 + x)) + -3(x + 5)(x + 5) = 4(x + 1)(x + -1) + -2
7((16 + -4x) + x(-4 + x)) + -3(x + 5)(x + 5) = 4(x + 1)(x + -1) + -2
7(16 + -4x + (-4 * x + x * x)) + -3(x + 5)(x + 5) = 4(x + 1)(x + -1) + -2
7(16 + -4x + (-4x + x2)) + -3(x + 5)(x + 5) = 4(x + 1)(x + -1) + -2

Combine like terms: -4x + -4x = -8x
7(16 + -8x + x2) + -3(x + 5)(x + 5) = 4(x + 1)(x + -1) + -2
(16 * 7 + -8x * 7 + x2 * 7) + -3(x + 5)(x + 5) = 4(x + 1)(x + -1) + -2
(112 + -56x + 7x2) + -3(x + 5)(x + 5) = 4(x + 1)(x + -1) + -2

Reorder the terms:
112 + -56x + 7x2 + -3(5 + x)(x + 5) = 4(x + 1)(x + -1) + -2

Reorder the terms:
112 + -56x + 7x2 + -3(5 + x)(5 + x) = 4(x + 1)(x + -1) + -2

Multiply (5 + x) * (5 + x)
112 + -56x + 7x2 + -3(5(5 + x) + x(5 + x)) = 4(x + 1)(x + -1) + -2
112 + -56x + 7x2 + -3((5 * 5 + x * 5) + x(5 + x)) = 4(x + 1)(x + -1) + -2
112 + -56x + 7x2 + -3((25 + 5x) + x(5 + x)) = 4(x + 1)(x + -1) + -2
112 + -56x + 7x2 + -3(25 + 5x + (5 * x + x * x)) = 4(x + 1)(x + -1) + -2
112 + -56x + 7x2 + -3(25 + 5x + (5x + x2)) = 4(x + 1)(x + -1) + -2

Combine like terms: 5x + 5x = 10x
112 + -56x + 7x2 + -3(25 + 10x + x2) = 4(x + 1)(x + -1) + -2
112 + -56x + 7x2 + (25 * -3 + 10x * -3 + x2 * -3) = 4(x + 1)(x + -1) + -2
112 + -56x + 7x2 + (-75 + -30x + -3x2) = 4(x + 1)(x + -1) + -2

Reorder the terms:
112 + -75 + -56x + -30x + 7x2 + -3x2 = 4(x + 1)(x + -1) + -2

Combine like terms: 112 + -75 = 37
37 + -56x + -30x + 7x2 + -3x2 = 4(x + 1)(x + -1) + -2

Combine like terms: -56x + -30x = -86x
37 + -86x + 7x2 + -3x2 = 4(x + 1)(x + -1) + -2

Combine like terms: 7x2 + -3x2 = 4x2
37 + -86x + 4x2 = 4(x + 1)(x + -1) + -2

Reorder the terms:
37 + -86x + 4x2 = 4(1 + x)(x + -1) + -2

Reorder the terms:
37 + -86x + 4x2 = 4(1 + x)(-1 + x) + -2

Multiply (1 + x) * (-1 + x)
37 + -86x + 4x2 = 4(1(-1 + x) + x(-1 + x)) + -2
37 + -86x + 4x2 = 4((-1 * 1 + x * 1) + x(-1 + x)) + -2
37 + -86x + 4x2 = 4((-1 + 1x) + x(-1 + x)) + -2
37 + -86x + 4x2 = 4(-1 + 1x + (-1 * x + x * x)) + -2
37 + -86x + 4x2 = 4(-1 + 1x + (-1x + x2)) + -2

Combine like terms: 1x + -1x = 0
37 + -86x + 4x2 = 4(-1 + 0 + x2) + -2
37 + -86x + 4x2 = 4(-1 + x2) + -2
37 + -86x + 4x2 = (-1 * 4 + x2 * 4) + -2
37 + -86x + 4x2 = (-4 + 4x2) + -2

Reorder the terms:
37 + -86x + 4x2 = -4 + -2 + 4x2

Combine like terms: -4 + -2 = -6
37 + -86x + 4x2 = -6 + 4x2

Add '-4x2' to each side of the equation.
37 + -86x + 4x2 + -4x2 = -6 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
37 + -86x + 0 = -6 + 4x2 + -4x2
37 + -86x = -6 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
37 + -86x = -6 + 0
37 + -86x = -6

Solving
37 + -86x = -6

Solving for variable 'x'.

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

Add '-37' to each side of the equation.
37 + -37 + -86x = -6 + -37

Combine like terms: 37 + -37 = 0
0 + -86x = -6 + -37
-86x = -6 + -37

Combine like terms: -6 + -37 = -43
-86x = -43

Divide each side by '-86'.
x = 0.5

Simplifying
x = 0.5

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