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Simplifying 126 = -16x2 + 66x Reorder the terms: 126 = 66x + -16x2 Solving 126 = 66x + -16x2 Solving for variable 'x'. Reorder the terms: 126 + -66x + 16x2 = 66x + -66x + -16x2 + 16x2 Combine like terms: 66x + -66x = 0 126 + -66x + 16x2 = 0 + -16x2 + 16x2 126 + -66x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 126 + -66x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(63 + -33x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(63 + -33x + 8x2)' equal to zero and attempt to solve: Simplifying 63 + -33x + 8x2 = 0 Solving 63 + -33x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 7.875 + -4.125x + x2 = 0 Move the constant term to the right: Add '-7.875' to each side of the equation. 7.875 + -4.125x + -7.875 + x2 = 0 + -7.875 Reorder the terms: 7.875 + -7.875 + -4.125x + x2 = 0 + -7.875 Combine like terms: 7.875 + -7.875 = 0.000 0.000 + -4.125x + x2 = 0 + -7.875 -4.125x + x2 = 0 + -7.875 Combine like terms: 0 + -7.875 = -7.875 -4.125x + x2 = -7.875 The x term is -4.125x. Take half its coefficient (-2.0625). Square it (4.25390625) and add it to both sides. Add '4.25390625' to each side of the equation. -4.125x + 4.25390625 + x2 = -7.875 + 4.25390625 Reorder the terms: 4.25390625 + -4.125x + x2 = -7.875 + 4.25390625 Combine like terms: -7.875 + 4.25390625 = -3.62109375 4.25390625 + -4.125x + x2 = -3.62109375 Factor a perfect square on the left side: (x + -2.0625)(x + -2.0625) = -3.62109375 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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