X(4x-9)=(4x+6)(x-6)

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Solution for X(4x-9)=(4x+6)(x-6) equation:


Simplifying
X(4x + -9) = (4x + 6)(x + -6)

Reorder the terms:
X(-9 + 4x) = (4x + 6)(x + -6)
(-9 * X + 4x * X) = (4x + 6)(x + -6)
(-9X + 4xX) = (4x + 6)(x + -6)

Reorder the terms:
-9X + 4xX = (6 + 4x)(x + -6)

Reorder the terms:
-9X + 4xX = (6 + 4x)(-6 + x)

Multiply (6 + 4x) * (-6 + x)
-9X + 4xX = (6(-6 + x) + 4x * (-6 + x))
-9X + 4xX = ((-6 * 6 + x * 6) + 4x * (-6 + x))
-9X + 4xX = ((-36 + 6x) + 4x * (-6 + x))
-9X + 4xX = (-36 + 6x + (-6 * 4x + x * 4x))
-9X + 4xX = (-36 + 6x + (-24x + 4x2))

Combine like terms: 6x + -24x = -18x
-9X + 4xX = (-36 + -18x + 4x2)

Solving
-9X + 4xX = -36 + -18x + 4x2

Solving for variable 'X'.

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

Reorder the terms:
36 + -9X + 18x + 4xX + -4x2 = -36 + -18x + 4x2 + 36 + 18x + -4x2

Reorder the terms:
36 + -9X + 18x + 4xX + -4x2 = -36 + 36 + -18x + 18x + 4x2 + -4x2

Combine like terms: -36 + 36 = 0
36 + -9X + 18x + 4xX + -4x2 = 0 + -18x + 18x + 4x2 + -4x2
36 + -9X + 18x + 4xX + -4x2 = -18x + 18x + 4x2 + -4x2

Combine like terms: -18x + 18x = 0
36 + -9X + 18x + 4xX + -4x2 = 0 + 4x2 + -4x2
36 + -9X + 18x + 4xX + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
36 + -9X + 18x + 4xX + -4x2 = 0

The solution to this equation could not be determined.

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