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Simplifying 64x2 + -92x + 120 = 0 Reorder the terms: 120 + -92x + 64x2 = 0 Solving 120 + -92x + 64x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(30 + -23x + 16x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(30 + -23x + 16x2)' equal to zero and attempt to solve: Simplifying 30 + -23x + 16x2 = 0 Solving 30 + -23x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.875 + -1.4375x + x2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + -1.4375x + -1.875 + x2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + -1.4375x + x2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + -1.4375x + x2 = 0 + -1.875 -1.4375x + x2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 -1.4375x + x2 = -1.875 The x term is -1.4375x. Take half its coefficient (-0.71875). Square it (0.5166015625) and add it to both sides. Add '0.5166015625' to each side of the equation. -1.4375x + 0.5166015625 + x2 = -1.875 + 0.5166015625 Reorder the terms: 0.5166015625 + -1.4375x + x2 = -1.875 + 0.5166015625 Combine like terms: -1.875 + 0.5166015625 = -1.3583984375 0.5166015625 + -1.4375x + x2 = -1.3583984375 Factor a perfect square on the left side: (x + -0.71875)(x + -0.71875) = -1.3583984375 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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