(x-3)(x+7)-(x-1)(x+5)=0

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Solution for (x-3)(x+7)-(x-1)(x+5)=0 equation: 


Simplifying
(x + -3)(x + 7) + -1(x + -1)(x + 5) = 0

Reorder the terms:
(-3 + x)(x + 7) + -1(x + -1)(x + 5) = 0

Reorder the terms:
(-3 + x)(7 + x) + -1(x + -1)(x + 5) = 0

Multiply (-3 + x) * (7 + x)
(-3(7 + x) + x(7 + x)) + -1(x + -1)(x + 5) = 0
((7 * -3 + x * -3) + x(7 + x)) + -1(x + -1)(x + 5) = 0
((-21 + -3x) + x(7 + x)) + -1(x + -1)(x + 5) = 0
(-21 + -3x + (7 * x + x * x)) + -1(x + -1)(x + 5) = 0
(-21 + -3x + (7x + x2)) + -1(x + -1)(x + 5) = 0

Combine like terms: -3x + 7x = 4x
(-21 + 4x + x2) + -1(x + -1)(x + 5) = 0

Reorder the terms:
-21 + 4x + x2 + -1(-1 + x)(x + 5) = 0

Reorder the terms:
-21 + 4x + x2 + -1(-1 + x)(5 + x) = 0

Multiply (-1 + x) * (5 + x)
-21 + 4x + x2 + -1(-1(5 + x) + x(5 + x)) = 0
-21 + 4x + x2 + -1((5 * -1 + x * -1) + x(5 + x)) = 0
-21 + 4x + x2 + -1((-5 + -1x) + x(5 + x)) = 0
-21 + 4x + x2 + -1(-5 + -1x + (5 * x + x * x)) = 0
-21 + 4x + x2 + -1(-5 + -1x + (5x + x2)) = 0

Combine like terms: -1x + 5x = 4x
-21 + 4x + x2 + -1(-5 + 4x + x2) = 0
-21 + 4x + x2 + (-5 * -1 + 4x * -1 + x2 * -1) = 0
-21 + 4x + x2 + (5 + -4x + -1x2) = 0

Reorder the terms:
-21 + 5 + 4x + -4x + x2 + -1x2 = 0

Combine like terms: -21 + 5 = -16
-16 + 4x + -4x + x2 + -1x2 = 0

Combine like terms: 4x + -4x = 0
-16 + 0 + x2 + -1x2 = 0
-16 + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
-16 + 0 = 0
-16 = 0

Solving
-16 = 0

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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