4x^2+x-9(x-5)=(2x+5)(2x-9)

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Solution for 4x^2+x-9(x-5)=(2x+5)(2x-9) equation: 


Simplifying
4x2 + x + -9(x + -5) = (2x + 5)(2x + -9)

Reorder the terms:
4x2 + x + -9(-5 + x) = (2x + 5)(2x + -9)
4x2 + x + (-5 * -9 + x * -9) = (2x + 5)(2x + -9)
4x2 + x + (45 + -9x) = (2x + 5)(2x + -9)

Reorder the terms:
45 + x + -9x + 4x2 = (2x + 5)(2x + -9)

Combine like terms: x + -9x = -8x
45 + -8x + 4x2 = (2x + 5)(2x + -9)

Reorder the terms:
45 + -8x + 4x2 = (5 + 2x)(2x + -9)

Reorder the terms:
45 + -8x + 4x2 = (5 + 2x)(-9 + 2x)

Multiply (5 + 2x) * (-9 + 2x)
45 + -8x + 4x2 = (5(-9 + 2x) + 2x * (-9 + 2x))
45 + -8x + 4x2 = ((-9 * 5 + 2x * 5) + 2x * (-9 + 2x))
45 + -8x + 4x2 = ((-45 + 10x) + 2x * (-9 + 2x))
45 + -8x + 4x2 = (-45 + 10x + (-9 * 2x + 2x * 2x))
45 + -8x + 4x2 = (-45 + 10x + (-18x + 4x2))

Combine like terms: 10x + -18x = -8x
45 + -8x + 4x2 = (-45 + -8x + 4x2)

Add '8x' to each side of the equation.
45 + -8x + 8x + 4x2 = -45 + -8x + 8x + 4x2

Combine like terms: -8x + 8x = 0
45 + 0 + 4x2 = -45 + -8x + 8x + 4x2
45 + 4x2 = -45 + -8x + 8x + 4x2

Combine like terms: -8x + 8x = 0
45 + 4x2 = -45 + 0 + 4x2
45 + 4x2 = -45 + 4x2

Add '-4x2' to each side of the equation.
45 + 4x2 + -4x2 = -45 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
45 + 0 = -45 + 4x2 + -4x2
45 = -45 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
45 = -45 + 0
45 = -45

Solving
45 = -45

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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