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Simplifying -2x2 + -8x + -15 = 0 Reorder the terms: -15 + -8x + -2x2 = 0 Solving -15 + -8x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 8x + 2x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(15 + 8x + 2x2)' equal to zero and attempt to solve: Simplifying 15 + 8x + 2x2 = 0 Solving 15 + 8x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + 4x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 4x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 4x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 4x + x2 = 0 + -7.5 4x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 4x + x2 = -7.5 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 = -7.5 + 4 Reorder the terms: 4 + 4x + x2 = -7.5 + 4 Combine like terms: -7.5 + 4 = -3.5 4 + 4x + x2 = -3.5 Factor a perfect square on the left side: (x + 2)(x + 2) = -3.5 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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