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Simplifying -2x2 + -16x + -35 = 0 Reorder the terms: -35 + -16x + -2x2 = 0 Solving -35 + -16x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(35 + 16x + 2x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(35 + 16x + 2x2)' equal to zero and attempt to solve: Simplifying 35 + 16x + 2x2 = 0 Solving 35 + 16x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 17.5 + 8x + x2 = 0 Move the constant term to the right: Add '-17.5' to each side of the equation. 17.5 + 8x + -17.5 + x2 = 0 + -17.5 Reorder the terms: 17.5 + -17.5 + 8x + x2 = 0 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 8x + x2 = 0 + -17.5 8x + x2 = 0 + -17.5 Combine like terms: 0 + -17.5 = -17.5 8x + x2 = -17.5 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -17.5 + 16 Reorder the terms: 16 + 8x + x2 = -17.5 + 16 Combine like terms: -17.5 + 16 = -1.5 16 + 8x + x2 = -1.5 Factor a perfect square on the left side: (x + 4)(x + 4) = -1.5 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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