x(4x-6)=(4x+7)(x-3)

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Solution for x(4x-6)=(4x+7)(x-3) equation:


Simplifying
x(4x + -6) = (4x + 7)(x + -3)

Reorder the terms:
x(-6 + 4x) = (4x + 7)(x + -3)
(-6 * x + 4x * x) = (4x + 7)(x + -3)
(-6x + 4x2) = (4x + 7)(x + -3)

Reorder the terms:
-6x + 4x2 = (7 + 4x)(x + -3)

Reorder the terms:
-6x + 4x2 = (7 + 4x)(-3 + x)

Multiply (7 + 4x) * (-3 + x)
-6x + 4x2 = (7(-3 + x) + 4x * (-3 + x))
-6x + 4x2 = ((-3 * 7 + x * 7) + 4x * (-3 + x))
-6x + 4x2 = ((-21 + 7x) + 4x * (-3 + x))
-6x + 4x2 = (-21 + 7x + (-3 * 4x + x * 4x))
-6x + 4x2 = (-21 + 7x + (-12x + 4x2))

Combine like terms: 7x + -12x = -5x
-6x + 4x2 = (-21 + -5x + 4x2)

Add '-4x2' to each side of the equation.
-6x + 4x2 + -4x2 = -21 + -5x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6x + 0 = -21 + -5x + 4x2 + -4x2
-6x = -21 + -5x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6x = -21 + -5x + 0
-6x = -21 + -5x

Solving
-6x = -21 + -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 = -21 + -5x + 5x

Combine like terms: -6x + 5x = -1x
-1x = -21 + -5x + 5x

Combine like terms: -5x + 5x = 0
-1x = -21 + 0
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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