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Simplifying -66x2 + 4x + -126 = 0 Reorder the terms: -126 + 4x + -66x2 = 0 Solving -126 + 4x + -66x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-63 + 2x + -33x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-63 + 2x + -33x2)' equal to zero and attempt to solve: Simplifying -63 + 2x + -33x2 = 0 Solving -63 + 2x + -33x2 = 0 Begin completing the square. Divide all terms by -33 the coefficient of the squared term: Divide each side by '-33'. 1.909090909 + -0.06060606061x + x2 = 0 Move the constant term to the right: Add '-1.909090909' to each side of the equation. 1.909090909 + -0.06060606061x + -1.909090909 + x2 = 0 + -1.909090909 Reorder the terms: 1.909090909 + -1.909090909 + -0.06060606061x + x2 = 0 + -1.909090909 Combine like terms: 1.909090909 + -1.909090909 = 0.000000000 0.000000000 + -0.06060606061x + x2 = 0 + -1.909090909 -0.06060606061x + x2 = 0 + -1.909090909 Combine like terms: 0 + -1.909090909 = -1.909090909 -0.06060606061x + x2 = -1.909090909 The x term is -0.06060606061x. Take half its coefficient (-0.03030303031). Square it (0.0009182736460) and add it to both sides. Add '0.0009182736460' to each side of the equation. -0.06060606061x + 0.0009182736460 + x2 = -1.909090909 + 0.0009182736460 Reorder the terms: 0.0009182736460 + -0.06060606061x + x2 = -1.909090909 + 0.0009182736460 Combine like terms: -1.909090909 + 0.0009182736460 = -1.908172635354 0.0009182736460 + -0.06060606061x + x2 = -1.908172635354 Factor a perfect square on the left side: (x + -0.03030303031)(x + -0.03030303031) = -1.908172635354 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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