4x-2x^2=56

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Solution for 4x-2x^2=56 equation:


Simplifying
4x + -2x2 = 56

Solving
4x + -2x2 = 56

Solving for variable 'x'.

Reorder the terms:
-56 + 4x + -2x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-56 + 4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + 2x + -1x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-28 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying -28 + 2x + -1x2 = 0 Solving -28 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 28 + -2x + x2 = 0 Move the constant term to the right: Add '-28' to each side of the equation. 28 + -2x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + -2x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -2x + x2 = 0 + -28 -2x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 -2x + x2 = -28 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 = -28 + 1 Reorder the terms: 1 + -2x + x2 = -28 + 1 Combine like terms: -28 + 1 = -27 1 + -2x + x2 = -27 Factor a perfect square on the left side: (x + -1)(x + -1) = -27 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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