X(4X-3)=(4X+6)(X-9)

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Solution for X(4X-3)=(4X+6)(X-9) equation:


Simplifying
X(4X + -3) = (4X + 6)(X + -9)

Reorder the terms:
X(-3 + 4X) = (4X + 6)(X + -9)
(-3 * X + 4X * X) = (4X + 6)(X + -9)
(-3X + 4X2) = (4X + 6)(X + -9)

Reorder the terms:
-3X + 4X2 = (6 + 4X)(X + -9)

Reorder the terms:
-3X + 4X2 = (6 + 4X)(-9 + X)

Multiply (6 + 4X) * (-9 + X)
-3X + 4X2 = (6(-9 + X) + 4X * (-9 + X))
-3X + 4X2 = ((-9 * 6 + X * 6) + 4X * (-9 + X))
-3X + 4X2 = ((-54 + 6X) + 4X * (-9 + X))
-3X + 4X2 = (-54 + 6X + (-9 * 4X + X * 4X))
-3X + 4X2 = (-54 + 6X + (-36X + 4X2))

Combine like terms: 6X + -36X = -30X
-3X + 4X2 = (-54 + -30X + 4X2)

Add '-4X2' to each side of the equation.
-3X + 4X2 + -4X2 = -54 + -30X + 4X2 + -4X2

Combine like terms: 4X2 + -4X2 = 0
-3X + 0 = -54 + -30X + 4X2 + -4X2
-3X = -54 + -30X + 4X2 + -4X2

Combine like terms: 4X2 + -4X2 = 0
-3X = -54 + -30X + 0
-3X = -54 + -30X

Solving
-3X = -54 + -30X

Solving for variable 'X'.

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

Add '30X' to each side of the equation.
-3X + 30X = -54 + -30X + 30X

Combine like terms: -3X + 30X = 27X
27X = -54 + -30X + 30X

Combine like terms: -30X + 30X = 0
27X = -54 + 0
27X = -54

Divide each side by '27'.
X = -2

Simplifying
X = -2

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