(x+5)(x-1)=((x-4)(x-4))+57

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Solution for (x+5)(x-1)=((x-4)(x-4))+57 equation: 


Simplifying
(x + 5)(x + -1) = ((x + -4)(x + -4)) + 57

Reorder the terms:
(5 + x)(x + -1) = ((x + -4)(x + -4)) + 57

Reorder the terms:
(5 + x)(-1 + x) = ((x + -4)(x + -4)) + 57

Multiply (5 + x) * (-1 + x)
(5(-1 + x) + x(-1 + x)) = ((x + -4)(x + -4)) + 57
((-1 * 5 + x * 5) + x(-1 + x)) = ((x + -4)(x + -4)) + 57
((-5 + 5x) + x(-1 + x)) = ((x + -4)(x + -4)) + 57
(-5 + 5x + (-1 * x + x * x)) = ((x + -4)(x + -4)) + 57
(-5 + 5x + (-1x + x2)) = ((x + -4)(x + -4)) + 57

Combine like terms: 5x + -1x = 4x
(-5 + 4x + x2) = ((x + -4)(x + -4)) + 57

Reorder the terms:
-5 + 4x + x2 = ((-4 + x)(x + -4)) + 57

Reorder the terms:
-5 + 4x + x2 = ((-4 + x)(-4 + x)) + 57

Multiply (-4 + x) * (-4 + x)
-5 + 4x + x2 = ((-4(-4 + x) + x(-4 + x))) + 57
-5 + 4x + x2 = (((-4 * -4 + x * -4) + x(-4 + x))) + 57
-5 + 4x + x2 = (((16 + -4x) + x(-4 + x))) + 57
-5 + 4x + x2 = ((16 + -4x + (-4 * x + x * x))) + 57
-5 + 4x + x2 = ((16 + -4x + (-4x + x2))) + 57

Combine like terms: -4x + -4x = -8x
-5 + 4x + x2 = ((16 + -8x + x2)) + 57
-5 + 4x + x2 = (16 + -8x + x2) + 57

Remove parenthesis around (16 + -8x + x2)
-5 + 4x + x2 = 16 + -8x + x2 + 57

Reorder the terms:
-5 + 4x + x2 = 16 + 57 + -8x + x2

Combine like terms: 16 + 57 = 73
-5 + 4x + x2 = 73 + -8x + x2

Add '-1x2' to each side of the equation.
-5 + 4x + x2 + -1x2 = 73 + -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + 4x + 0 = 73 + -8x + x2 + -1x2
-5 + 4x = 73 + -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + 4x = 73 + -8x + 0
-5 + 4x = 73 + -8x

Solving
-5 + 4x = 73 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-5 + 4x + 8x = 73 + -8x + 8x

Combine like terms: 4x + 8x = 12x
-5 + 12x = 73 + -8x + 8x

Combine like terms: -8x + 8x = 0
-5 + 12x = 73 + 0
-5 + 12x = 73

Add '5' to each side of the equation.
-5 + 5 + 12x = 73 + 5

Combine like terms: -5 + 5 = 0
0 + 12x = 73 + 5
12x = 73 + 5

Combine like terms: 73 + 5 = 78
12x = 78

Divide each side by '12'.
x = 6.5

Simplifying
x = 6.5

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