X(3x-6)=(3x+4)(x-5)

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Solution for X(3x-6)=(3x+4)(x-5) equation:


Simplifying
X(3x + -6) = (3x + 4)(x + -5)

Reorder the terms:
X(-6 + 3x) = (3x + 4)(x + -5)
(-6 * X + 3x * X) = (3x + 4)(x + -5)
(-6X + 3xX) = (3x + 4)(x + -5)

Reorder the terms:
-6X + 3xX = (4 + 3x)(x + -5)

Reorder the terms:
-6X + 3xX = (4 + 3x)(-5 + x)

Multiply (4 + 3x) * (-5 + x)
-6X + 3xX = (4(-5 + x) + 3x * (-5 + x))
-6X + 3xX = ((-5 * 4 + x * 4) + 3x * (-5 + x))
-6X + 3xX = ((-20 + 4x) + 3x * (-5 + x))
-6X + 3xX = (-20 + 4x + (-5 * 3x + x * 3x))
-6X + 3xX = (-20 + 4x + (-15x + 3x2))

Combine like terms: 4x + -15x = -11x
-6X + 3xX = (-20 + -11x + 3x2)

Solving
-6X + 3xX = -20 + -11x + 3x2

Solving for variable 'X'.

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

Reorder the terms:
20 + -6X + 11x + 3xX + -3x2 = -20 + -11x + 3x2 + 20 + 11x + -3x2

Reorder the terms:
20 + -6X + 11x + 3xX + -3x2 = -20 + 20 + -11x + 11x + 3x2 + -3x2

Combine like terms: -20 + 20 = 0
20 + -6X + 11x + 3xX + -3x2 = 0 + -11x + 11x + 3x2 + -3x2
20 + -6X + 11x + 3xX + -3x2 = -11x + 11x + 3x2 + -3x2

Combine like terms: -11x + 11x = 0
20 + -6X + 11x + 3xX + -3x2 = 0 + 3x2 + -3x2
20 + -6X + 11x + 3xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
20 + -6X + 11x + 3xX + -3x2 = 0

The solution to this equation could not be determined.

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