x(4x-6)=(4x+3)(x-2)

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Solution for x(4x-6)=(4x+3)(x-2) equation:


Simplifying
x(4x + -6) = (4x + 3)(x + -2)

Reorder the terms:
x(-6 + 4x) = (4x + 3)(x + -2)
(-6 * x + 4x * x) = (4x + 3)(x + -2)
(-6x + 4x2) = (4x + 3)(x + -2)

Reorder the terms:
-6x + 4x2 = (3 + 4x)(x + -2)

Reorder the terms:
-6x + 4x2 = (3 + 4x)(-2 + x)

Multiply (3 + 4x) * (-2 + x)
-6x + 4x2 = (3(-2 + x) + 4x * (-2 + x))
-6x + 4x2 = ((-2 * 3 + x * 3) + 4x * (-2 + x))
-6x + 4x2 = ((-6 + 3x) + 4x * (-2 + x))
-6x + 4x2 = (-6 + 3x + (-2 * 4x + x * 4x))
-6x + 4x2 = (-6 + 3x + (-8x + 4x2))

Combine like terms: 3x + -8x = -5x
-6x + 4x2 = (-6 + -5x + 4x2)

Add '-4x2' to each side of the equation.
-6x + 4x2 + -4x2 = -6 + -5x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6x + 0 = -6 + -5x + 4x2 + -4x2
-6x = -6 + -5x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6x = -6 + -5x + 0
-6x = -6 + -5x

Solving
-6x = -6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-6x + 5x = -6 + -5x + 5x

Combine like terms: -6x + 5x = -1x
-1x = -6 + -5x + 5x

Combine like terms: -5x + 5x = 0
-1x = -6 + 0
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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