(x+5)(x-3)=(x-4)(x+6)

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Solution for (x+5)(x-3)=(x-4)(x+6) equation: 


Simplifying
(x + 5)(x + -3) = (x + -4)(x + 6)

Reorder the terms:
(5 + x)(x + -3) = (x + -4)(x + 6)

Reorder the terms:
(5 + x)(-3 + x) = (x + -4)(x + 6)

Multiply (5 + x) * (-3 + x)
(5(-3 + x) + x(-3 + x)) = (x + -4)(x + 6)
((-3 * 5 + x * 5) + x(-3 + x)) = (x + -4)(x + 6)
((-15 + 5x) + x(-3 + x)) = (x + -4)(x + 6)
(-15 + 5x + (-3 * x + x * x)) = (x + -4)(x + 6)
(-15 + 5x + (-3x + x2)) = (x + -4)(x + 6)

Combine like terms: 5x + -3x = 2x
(-15 + 2x + x2) = (x + -4)(x + 6)

Reorder the terms:
-15 + 2x + x2 = (-4 + x)(x + 6)

Reorder the terms:
-15 + 2x + x2 = (-4 + x)(6 + x)

Multiply (-4 + x) * (6 + x)
-15 + 2x + x2 = (-4(6 + x) + x(6 + x))
-15 + 2x + x2 = ((6 * -4 + x * -4) + x(6 + x))
-15 + 2x + x2 = ((-24 + -4x) + x(6 + x))
-15 + 2x + x2 = (-24 + -4x + (6 * x + x * x))
-15 + 2x + x2 = (-24 + -4x + (6x + x2))

Combine like terms: -4x + 6x = 2x
-15 + 2x + x2 = (-24 + 2x + x2)

Add '-2x' to each side of the equation.
-15 + 2x + -2x + x2 = -24 + 2x + -2x + x2

Combine like terms: 2x + -2x = 0
-15 + 0 + x2 = -24 + 2x + -2x + x2
-15 + x2 = -24 + 2x + -2x + x2

Combine like terms: 2x + -2x = 0
-15 + x2 = -24 + 0 + x2
-15 + x2 = -24 + x2

Add '-1x2' to each side of the equation.
-15 + x2 + -1x2 = -24 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + 0 = -24 + x2 + -1x2
-15 = -24 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 = -24 + 0
-15 = -24

Solving
-15 = -24

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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