4x^2-8x=-8

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Solution for 4x^2-8x=-8 equation:


Simplifying
4x2 + -8x = -8

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

Solving
-8x + 4x2 = -8

Solving for variable 'x'.

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

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

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

Ignore the factor 4.

Subproblem 1

Set the factor '(2 + -2x + x2)' equal to zero and attempt to solve: Simplifying 2 + -2x + x2 = 0 Solving 2 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x + x2 = 0 + -2 -2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2x + x2 = -2 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 = -2 + 1 Reorder the terms: 1 + -2x + x2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2x + x2 = -1 Factor a perfect square on the left side: (x + -1)(x + -1) = -1 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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