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Simplifying -2x2 + -8x = 13 Reorder the terms: -8x + -2x2 = 13 Solving -8x + -2x2 = 13 Solving for variable 'x'. Reorder the terms: -13 + -8x + -2x2 = 13 + -13 Combine like terms: 13 + -13 = 0 -13 + -8x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(13 + 8x + 2x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(13 + 8x + 2x2)' equal to zero and attempt to solve: Simplifying 13 + 8x + 2x2 = 0 Solving 13 + 8x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 6.5 + 4x + x2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + 4x + -6.5 + x2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + 4x + x2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 4x + x2 = 0 + -6.5 4x + x2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 4x + x2 = -6.5 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -6.5 + 4 Reorder the terms: 4 + 4x + x2 = -6.5 + 4 Combine like terms: -6.5 + 4 = -2.5 4 + 4x + x2 = -2.5 Factor a perfect square on the left side: (x + 2)(x + 2) = -2.5 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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