(2x-9)(2x+7)=(2x-5)(2x+3)

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Solution for (2x-9)(2x+7)=(2x-5)(2x+3) equation: 


Simplifying
(2x + -9)(2x + 7) = (2x + -5)(2x + 3)

Reorder the terms:
(-9 + 2x)(2x + 7) = (2x + -5)(2x + 3)

Reorder the terms:
(-9 + 2x)(7 + 2x) = (2x + -5)(2x + 3)

Multiply (-9 + 2x) * (7 + 2x)
(-9(7 + 2x) + 2x * (7 + 2x)) = (2x + -5)(2x + 3)
((7 * -9 + 2x * -9) + 2x * (7 + 2x)) = (2x + -5)(2x + 3)
((-63 + -18x) + 2x * (7 + 2x)) = (2x + -5)(2x + 3)
(-63 + -18x + (7 * 2x + 2x * 2x)) = (2x + -5)(2x + 3)
(-63 + -18x + (14x + 4x2)) = (2x + -5)(2x + 3)

Combine like terms: -18x + 14x = -4x
(-63 + -4x + 4x2) = (2x + -5)(2x + 3)

Reorder the terms:
-63 + -4x + 4x2 = (-5 + 2x)(2x + 3)

Reorder the terms:
-63 + -4x + 4x2 = (-5 + 2x)(3 + 2x)

Multiply (-5 + 2x) * (3 + 2x)
-63 + -4x + 4x2 = (-5(3 + 2x) + 2x * (3 + 2x))
-63 + -4x + 4x2 = ((3 * -5 + 2x * -5) + 2x * (3 + 2x))
-63 + -4x + 4x2 = ((-15 + -10x) + 2x * (3 + 2x))
-63 + -4x + 4x2 = (-15 + -10x + (3 * 2x + 2x * 2x))
-63 + -4x + 4x2 = (-15 + -10x + (6x + 4x2))

Combine like terms: -10x + 6x = -4x
-63 + -4x + 4x2 = (-15 + -4x + 4x2)

Add '4x' to each side of the equation.
-63 + -4x + 4x + 4x2 = -15 + -4x + 4x + 4x2

Combine like terms: -4x + 4x = 0
-63 + 0 + 4x2 = -15 + -4x + 4x + 4x2
-63 + 4x2 = -15 + -4x + 4x + 4x2

Combine like terms: -4x + 4x = 0
-63 + 4x2 = -15 + 0 + 4x2
-63 + 4x2 = -15 + 4x2

Add '-4x2' to each side of the equation.
-63 + 4x2 + -4x2 = -15 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-63 + 0 = -15 + 4x2 + -4x2
-63 = -15 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-63 = -15 + 0
-63 = -15

Solving
-63 = -15

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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