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Simplifying 9x + -18x + -6 + -16x2 = 0 Reorder the terms: -6 + 9x + -18x + -16x2 = 0 Combine like terms: 9x + -18x = -9x -6 + -9x + -16x2 = 0 Solving -6 + -9x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 9x + 16x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + 9x + 16x2)' equal to zero and attempt to solve: Simplifying 6 + 9x + 16x2 = 0 Solving 6 + 9x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.375 + 0.5625x + x2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + 0.5625x + -0.375 + x2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + 0.5625x + x2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + 0.5625x + x2 = 0 + -0.375 0.5625x + x2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 0.5625x + x2 = -0.375 The x term is 0.5625x. Take half its coefficient (0.28125). Square it (0.0791015625) and add it to both sides. Add '0.0791015625' to each side of the equation. 0.5625x + 0.0791015625 + x2 = -0.375 + 0.0791015625 Reorder the terms: 0.0791015625 + 0.5625x + x2 = -0.375 + 0.0791015625 Combine like terms: -0.375 + 0.0791015625 = -0.2958984375 0.0791015625 + 0.5625x + x2 = -0.2958984375 Factor a perfect square on the left side: (x + 0.28125)(x + 0.28125) = -0.2958984375 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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