(X-4)(x-1)-(-5x-7)(x+5)=

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


Simplifying
(X + -4)(x + -1) + -1(-5x + -7)(x + 5) = 0

Reorder the terms:
(-4 + X)(x + -1) + -1(-5x + -7)(x + 5) = 0

Reorder the terms:
(-4 + X)(-1 + x) + -1(-5x + -7)(x + 5) = 0

Multiply (-4 + X) * (-1 + x)
(-4(-1 + x) + X(-1 + x)) + -1(-5x + -7)(x + 5) = 0
((-1 * -4 + x * -4) + X(-1 + x)) + -1(-5x + -7)(x + 5) = 0
((4 + -4x) + X(-1 + x)) + -1(-5x + -7)(x + 5) = 0
(4 + -4x + (-1 * X + x * X)) + -1(-5x + -7)(x + 5) = 0
(4 + -4x + (-1X + xX)) + -1(-5x + -7)(x + 5) = 0

Reorder the terms:
(4 + -1X + -4x + xX) + -1(-5x + -7)(x + 5) = 0
(4 + -1X + -4x + xX) + -1(-5x + -7)(x + 5) = 0

Reorder the terms:
4 + -1X + -4x + xX + -1(-7 + -5x)(x + 5) = 0

Reorder the terms:
4 + -1X + -4x + xX + -1(-7 + -5x)(5 + x) = 0

Multiply (-7 + -5x) * (5 + x)
4 + -1X + -4x + xX + -1(-7(5 + x) + -5x * (5 + x)) = 0
4 + -1X + -4x + xX + -1((5 * -7 + x * -7) + -5x * (5 + x)) = 0
4 + -1X + -4x + xX + -1((-35 + -7x) + -5x * (5 + x)) = 0
4 + -1X + -4x + xX + -1(-35 + -7x + (5 * -5x + x * -5x)) = 0
4 + -1X + -4x + xX + -1(-35 + -7x + (-25x + -5x2)) = 0

Combine like terms: -7x + -25x = -32x
4 + -1X + -4x + xX + -1(-35 + -32x + -5x2) = 0
4 + -1X + -4x + xX + (-35 * -1 + -32x * -1 + -5x2 * -1) = 0
4 + -1X + -4x + xX + (35 + 32x + 5x2) = 0

Reorder the terms:
4 + 35 + -1X + -4x + 32x + xX + 5x2 = 0

Combine like terms: 4 + 35 = 39
39 + -1X + -4x + 32x + xX + 5x2 = 0

Combine like terms: -4x + 32x = 28x
39 + -1X + 28x + xX + 5x2 = 0

Solving
39 + -1X + 28x + xX + 5x2 = 0

Solving for variable 'X'.

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

Add '-39' to each side of the equation.
39 + -1X + 28x + xX + -39 + 5x2 = 0 + -39

Reorder the terms:
39 + -39 + -1X + 28x + xX + 5x2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -1X + 28x + xX + 5x2 = 0 + -39
-1X + 28x + xX + 5x2 = 0 + -39

Combine like terms: 0 + -39 = -39
-1X + 28x + xX + 5x2 = -39

Add '-28x' to each side of the equation.
-1X + 28x + xX + -28x + 5x2 = -39 + -28x

Reorder the terms:
-1X + 28x + -28x + xX + 5x2 = -39 + -28x

Combine like terms: 28x + -28x = 0
-1X + 0 + xX + 5x2 = -39 + -28x
-1X + xX + 5x2 = -39 + -28x

Add '-5x2' to each side of the equation.
-1X + xX + 5x2 + -5x2 = -39 + -28x + -5x2

Combine like terms: 5x2 + -5x2 = 0
-1X + xX + 0 = -39 + -28x + -5x2
-1X + xX = -39 + -28x + -5x2

Reorder the terms:
39 + -1X + 28x + xX + 5x2 = -39 + -28x + -5x2 + 39 + 28x + 5x2

Reorder the terms:
39 + -1X + 28x + xX + 5x2 = -39 + 39 + -28x + 28x + -5x2 + 5x2

Combine like terms: -39 + 39 = 0
39 + -1X + 28x + xX + 5x2 = 0 + -28x + 28x + -5x2 + 5x2
39 + -1X + 28x + xX + 5x2 = -28x + 28x + -5x2 + 5x2

Combine like terms: -28x + 28x = 0
39 + -1X + 28x + xX + 5x2 = 0 + -5x2 + 5x2
39 + -1X + 28x + xX + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
39 + -1X + 28x + xX + 5x2 = 0

The solution to this equation could not be determined.

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