2(4x+2)=4x-12x(x-1)

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Solution for 2(4x+2)=4x-12x(x-1) equation:


Simplifying
2(4x + 2) = 4x + -12x(x + -1)

Reorder the terms:
2(2 + 4x) = 4x + -12x(x + -1)
(2 * 2 + 4x * 2) = 4x + -12x(x + -1)
(4 + 8x) = 4x + -12x(x + -1)

Reorder the terms:
4 + 8x = 4x + -12x(-1 + x)
4 + 8x = 4x + (-1 * -12x + x * -12x)
4 + 8x = 4x + (12x + -12x2)

Combine like terms: 4x + 12x = 16x
4 + 8x = 16x + -12x2

Solving
4 + 8x = 16x + -12x2

Solving for variable 'x'.

Combine like terms: 8x + -16x = -8x
4 + -8x + 12x2 = 16x + -12x2 + -16x + 12x2

Reorder the terms:
4 + -8x + 12x2 = 16x + -16x + -12x2 + 12x2

Combine like terms: 16x + -16x = 0
4 + -8x + 12x2 = 0 + -12x2 + 12x2
4 + -8x + 12x2 = -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
4 + -8x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -2x + 3x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(1 + -2x + 3x2)' equal to zero and attempt to solve: Simplifying 1 + -2x + 3x2 = 0 Solving 1 + -2x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.3333333333 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.6666666667x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.6666666667x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.6666666667x + x2 = 0 + -0.3333333333 -0.6666666667x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.6666666667x + x2 = -0.3333333333 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -0.3333333333 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -0.3333333333 + 0.1111111112 Combine like terms: -0.3333333333 + 0.1111111112 = -0.2222222221 0.1111111112 + -0.6666666667x + x2 = -0.2222222221 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -0.2222222221 Can't calculate square root of the right side. 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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