4x-2x(x-2)=-2+4x+8

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Solution for 4x-2x(x-2)=-2+4x+8 equation:


Simplifying
4x + -2x(x + -2) = -2 + 4x + 8

Reorder the terms:
4x + -2x(-2 + x) = -2 + 4x + 8
4x + (-2 * -2x + x * -2x) = -2 + 4x + 8
4x + (4x + -2x2) = -2 + 4x + 8

Combine like terms: 4x + 4x = 8x
8x + -2x2 = -2 + 4x + 8

Reorder the terms:
8x + -2x2 = -2 + 8 + 4x

Combine like terms: -2 + 8 = 6
8x + -2x2 = 6 + 4x

Solving
8x + -2x2 = 6 + 4x

Solving for variable 'x'.

Reorder the terms:
-6 + 8x + -4x + -2x2 = 6 + 4x + -6 + -4x

Combine like terms: 8x + -4x = 4x
-6 + 4x + -2x2 = 6 + 4x + -6 + -4x

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

Combine like terms: 6 + -6 = 0
-6 + 4x + -2x2 = 0 + 4x + -4x
-6 + 4x + -2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 4x + -2x2 = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying -3 + 2x + -1x2 = 0 Solving -3 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 3 + -2x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -2x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x + x2 = 0 + -3 -2x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2x + x2 = -3 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -3 + 1 Reorder the terms: 1 + -2x + x2 = -3 + 1 Combine like terms: -3 + 1 = -2 1 + -2x + x2 = -2 Factor a perfect square on the left side: (x + -1)(x + -1) = -2 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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