(2X-5)2-16=(2x-1)(2x-9)

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Solution for (2X-5)2-16=(2x-1)(2x-9) equation:


Simplifying
(2X + -5) * 2 + -16 = (2x + -1)(2x + -9)

Reorder the terms:
(-5 + 2X) * 2 + -16 = (2x + -1)(2x + -9)

Reorder the terms for easier multiplication:
2(-5 + 2X) + -16 = (2x + -1)(2x + -9)
(-5 * 2 + 2X * 2) + -16 = (2x + -1)(2x + -9)
(-10 + 4X) + -16 = (2x + -1)(2x + -9)

Reorder the terms:
-10 + -16 + 4X = (2x + -1)(2x + -9)

Combine like terms: -10 + -16 = -26
-26 + 4X = (2x + -1)(2x + -9)

Reorder the terms:
-26 + 4X = (-1 + 2x)(2x + -9)

Reorder the terms:
-26 + 4X = (-1 + 2x)(-9 + 2x)

Multiply (-1 + 2x) * (-9 + 2x)
-26 + 4X = (-1(-9 + 2x) + 2x * (-9 + 2x))
-26 + 4X = ((-9 * -1 + 2x * -1) + 2x * (-9 + 2x))
-26 + 4X = ((9 + -2x) + 2x * (-9 + 2x))
-26 + 4X = (9 + -2x + (-9 * 2x + 2x * 2x))
-26 + 4X = (9 + -2x + (-18x + 4x2))

Combine like terms: -2x + -18x = -20x
-26 + 4X = (9 + -20x + 4x2)

Solving
-26 + 4X = 9 + -20x + 4x2

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '26' to each side of the equation.
-26 + 26 + 4X = 9 + -20x + 26 + 4x2

Combine like terms: -26 + 26 = 0
0 + 4X = 9 + -20x + 26 + 4x2
4X = 9 + -20x + 26 + 4x2

Reorder the terms:
4X = 9 + 26 + -20x + 4x2

Combine like terms: 9 + 26 = 35
4X = 35 + -20x + 4x2

Divide each side by '4'.
X = 8.75 + -5x + x2

Simplifying
X = 8.75 + -5x + x2

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