X(2x-7)=(2x+8)(x-9)

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Solution for X(2x-7)=(2x+8)(x-9) equation:


Simplifying
X(2x + -7) = (2x + 8)(x + -9)

Reorder the terms:
X(-7 + 2x) = (2x + 8)(x + -9)
(-7 * X + 2x * X) = (2x + 8)(x + -9)
(-7X + 2xX) = (2x + 8)(x + -9)

Reorder the terms:
-7X + 2xX = (8 + 2x)(x + -9)

Reorder the terms:
-7X + 2xX = (8 + 2x)(-9 + x)

Multiply (8 + 2x) * (-9 + x)
-7X + 2xX = (8(-9 + x) + 2x * (-9 + x))
-7X + 2xX = ((-9 * 8 + x * 8) + 2x * (-9 + x))
-7X + 2xX = ((-72 + 8x) + 2x * (-9 + x))
-7X + 2xX = (-72 + 8x + (-9 * 2x + x * 2x))
-7X + 2xX = (-72 + 8x + (-18x + 2x2))

Combine like terms: 8x + -18x = -10x
-7X + 2xX = (-72 + -10x + 2x2)

Solving
-7X + 2xX = -72 + -10x + 2x2

Solving for variable 'X'.

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

Reorder the terms:
72 + -7X + 10x + 2xX + -2x2 = -72 + -10x + 2x2 + 72 + 10x + -2x2

Reorder the terms:
72 + -7X + 10x + 2xX + -2x2 = -72 + 72 + -10x + 10x + 2x2 + -2x2

Combine like terms: -72 + 72 = 0
72 + -7X + 10x + 2xX + -2x2 = 0 + -10x + 10x + 2x2 + -2x2
72 + -7X + 10x + 2xX + -2x2 = -10x + 10x + 2x2 + -2x2

Combine like terms: -10x + 10x = 0
72 + -7X + 10x + 2xX + -2x2 = 0 + 2x2 + -2x2
72 + -7X + 10x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
72 + -7X + 10x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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