4x^2-20x+9=(2x-9)(2x-1)

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Solution for 4x^2-20x+9=(2x-9)(2x-1) equation: 


Simplifying
4x2 + -20x + 9 = (2x + -9)(2x + -1)

Reorder the terms:
9 + -20x + 4x2 = (2x + -9)(2x + -1)

Reorder the terms:
9 + -20x + 4x2 = (-9 + 2x)(2x + -1)

Reorder the terms:
9 + -20x + 4x2 = (-9 + 2x)(-1 + 2x)

Multiply (-9 + 2x) * (-1 + 2x)
9 + -20x + 4x2 = (-9(-1 + 2x) + 2x * (-1 + 2x))
9 + -20x + 4x2 = ((-1 * -9 + 2x * -9) + 2x * (-1 + 2x))
9 + -20x + 4x2 = ((9 + -18x) + 2x * (-1 + 2x))
9 + -20x + 4x2 = (9 + -18x + (-1 * 2x + 2x * 2x))
9 + -20x + 4x2 = (9 + -18x + (-2x + 4x2))

Combine like terms: -18x + -2x = -20x
9 + -20x + 4x2 = (9 + -20x + 4x2)

Add '-9' to each side of the equation.
9 + -20x + -9 + 4x2 = 9 + -20x + -9 + 4x2

Reorder the terms:
9 + -9 + -20x + 4x2 = 9 + -20x + -9 + 4x2

Combine like terms: 9 + -9 = 0
0 + -20x + 4x2 = 9 + -20x + -9 + 4x2
-20x + 4x2 = 9 + -20x + -9 + 4x2

Reorder the terms:
-20x + 4x2 = 9 + -9 + -20x + 4x2

Combine like terms: 9 + -9 = 0
-20x + 4x2 = 0 + -20x + 4x2
-20x + 4x2 = -20x + 4x2

Add '20x' to each side of the equation.
-20x + 20x + 4x2 = -20x + 20x + 4x2

Combine like terms: -20x + 20x = 0
0 + 4x2 = -20x + 20x + 4x2
4x2 = -20x + 20x + 4x2

Combine like terms: -20x + 20x = 0
4x2 = 0 + 4x2
4x2 = 4x2

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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