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Simplifying -92x2 + -144x + -1260 = 0 Reorder the terms: -1260 + -144x + -92x2 = 0 Solving -1260 + -144x + -92x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4'. -4(315 + 36x + 23x2) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(315 + 36x + 23x2)' equal to zero and attempt to solve: Simplifying 315 + 36x + 23x2 = 0 Solving 315 + 36x + 23x2 = 0 Begin completing the square. Divide all terms by 23 the coefficient of the squared term: Divide each side by '23'. 13.69565217 + 1.565217391x + x2 = 0 Move the constant term to the right: Add '-13.69565217' to each side of the equation. 13.69565217 + 1.565217391x + -13.69565217 + x2 = 0 + -13.69565217 Reorder the terms: 13.69565217 + -13.69565217 + 1.565217391x + x2 = 0 + -13.69565217 Combine like terms: 13.69565217 + -13.69565217 = 0.00000000 0.00000000 + 1.565217391x + x2 = 0 + -13.69565217 1.565217391x + x2 = 0 + -13.69565217 Combine like terms: 0 + -13.69565217 = -13.69565217 1.565217391x + x2 = -13.69565217 The x term is 1.565217391x. Take half its coefficient (0.7826086955). Square it (0.6124763703) and add it to both sides. Add '0.6124763703' to each side of the equation. 1.565217391x + 0.6124763703 + x2 = -13.69565217 + 0.6124763703 Reorder the terms: 0.6124763703 + 1.565217391x + x2 = -13.69565217 + 0.6124763703 Combine like terms: -13.69565217 + 0.6124763703 = -13.0831757997 0.6124763703 + 1.565217391x + x2 = -13.0831757997 Factor a perfect square on the left side: (x + 0.7826086955)(x + 0.7826086955) = -13.0831757997 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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