X(2x+2)=x(12x-2)

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Solution for X(2x+2)=x(12x-2) equation:


Simplifying
X(2x + 2) = x(12x + -2)

Reorder the terms:
X(2 + 2x) = x(12x + -2)
(2 * X + 2x * X) = x(12x + -2)
(2X + 2xX) = x(12x + -2)

Reorder the terms:
2X + 2xX = x(-2 + 12x)
2X + 2xX = (-2 * x + 12x * x)
2X + 2xX = (-2x + 12x2)

Solving
2X + 2xX = -2x + 12x2

Solving for variable 'X'.

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

Reorder the terms:
2X + 2x + 2xX + -12x2 = -2x + 12x2 + 2x + -12x2

Reorder the terms:
2X + 2x + 2xX + -12x2 = -2x + 2x + 12x2 + -12x2

Combine like terms: -2x + 2x = 0
2X + 2x + 2xX + -12x2 = 0 + 12x2 + -12x2
2X + 2x + 2xX + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
2X + 2x + 2xX + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(X + x + xX + -6x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(X + x + xX + -6x2)' equal to zero and attempt to solve: Simplifying X + x + xX + -6x2 = 0 Solving X + x + xX + -6x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1x' to each side of the equation. X + x + xX + -1x + -6x2 = 0 + -1x Reorder the terms: X + x + -1x + xX + -6x2 = 0 + -1x Combine like terms: x + -1x = 0 X + 0 + xX + -6x2 = 0 + -1x X + xX + -6x2 = 0 + -1x Remove the zero: X + xX + -6x2 = -1x Add '6x2' to each side of the equation. X + xX + -6x2 + 6x2 = -1x + 6x2 Combine like terms: -6x2 + 6x2 = 0 X + xX + 0 = -1x + 6x2 X + xX = -1x + 6x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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