X(2x-3)=(2x+3)(x-6)

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Solution for X(2x-3)=(2x+3)(x-6) equation:


Simplifying
X(2x + -3) = (2x + 3)(x + -6)

Reorder the terms:
X(-3 + 2x) = (2x + 3)(x + -6)
(-3 * X + 2x * X) = (2x + 3)(x + -6)
(-3X + 2xX) = (2x + 3)(x + -6)

Reorder the terms:
-3X + 2xX = (3 + 2x)(x + -6)

Reorder the terms:
-3X + 2xX = (3 + 2x)(-6 + x)

Multiply (3 + 2x) * (-6 + x)
-3X + 2xX = (3(-6 + x) + 2x * (-6 + x))
-3X + 2xX = ((-6 * 3 + x * 3) + 2x * (-6 + x))
-3X + 2xX = ((-18 + 3x) + 2x * (-6 + x))
-3X + 2xX = (-18 + 3x + (-6 * 2x + x * 2x))
-3X + 2xX = (-18 + 3x + (-12x + 2x2))

Combine like terms: 3x + -12x = -9x
-3X + 2xX = (-18 + -9x + 2x2)

Solving
-3X + 2xX = -18 + -9x + 2x2

Solving for variable 'X'.

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

Reorder the terms:
18 + -3X + 9x + 2xX + -2x2 = -18 + -9x + 2x2 + 18 + 9x + -2x2

Reorder the terms:
18 + -3X + 9x + 2xX + -2x2 = -18 + 18 + -9x + 9x + 2x2 + -2x2

Combine like terms: -18 + 18 = 0
18 + -3X + 9x + 2xX + -2x2 = 0 + -9x + 9x + 2x2 + -2x2
18 + -3X + 9x + 2xX + -2x2 = -9x + 9x + 2x2 + -2x2

Combine like terms: -9x + 9x = 0
18 + -3X + 9x + 2xX + -2x2 = 0 + 2x2 + -2x2
18 + -3X + 9x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
18 + -3X + 9x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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