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Simplifying -4x2 + -2x = 56 Reorder the terms: -2x + -4x2 = 56 Solving -2x + -4x2 = 56 Solving for variable 'x'. Reorder the terms: -56 + -2x + -4x2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + -2x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(28 + x + 2x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(28 + x + 2x2)' equal to zero and attempt to solve: Simplifying 28 + x + 2x2 = 0 Solving 28 + x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 14 + 0.5x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + 0.5x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + 0.5x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 0.5x + x2 = 0 + -14 0.5x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 0.5x + x2 = -14 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5x + 0.25 + x2 = -14 + 0.25 Reorder the terms: 0.25 + 0.5x + x2 = -14 + 0.25 Combine like terms: -14 + 0.25 = -13.75 0.25 + 0.5x + x2 = -13.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -13.75 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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