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Simplifying -8x2 + -16x + -9 = 0 Reorder the terms: -9 + -16x + -8x2 = 0 Solving -9 + -16x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 16x + 8x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + 16x + 8x2)' equal to zero and attempt to solve: Simplifying 9 + 16x + 8x2 = 0 Solving 9 + 16x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.125 + 2x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + 2x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + 2x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + 2x + x2 = 0 + -1.125 2x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 2x + x2 = -1.125 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 = -1.125 + 1 Reorder the terms: 1 + 2x + x2 = -1.125 + 1 Combine like terms: -1.125 + 1 = -0.125 1 + 2x + x2 = -0.125 Factor a perfect square on the left side: (x + 1)(x + 1) = -0.125 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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