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Simplifying -2112x2 + 25600x + -153600 = 0 Reorder the terms: -153600 + 25600x + -2112x2 = 0 Solving -153600 + 25600x + -2112x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '64'. 64(-2400 + 400x + -33x2) = 0 Ignore the factor 64.Subproblem 1
Set the factor '(-2400 + 400x + -33x2)' equal to zero and attempt to solve: Simplifying -2400 + 400x + -33x2 = 0 Solving -2400 + 400x + -33x2 = 0 Begin completing the square. Divide all terms by -33 the coefficient of the squared term: Divide each side by '-33'. 72.72727273 + -12.12121212x + x2 = 0 Move the constant term to the right: Add '-72.72727273' to each side of the equation. 72.72727273 + -12.12121212x + -72.72727273 + x2 = 0 + -72.72727273 Reorder the terms: 72.72727273 + -72.72727273 + -12.12121212x + x2 = 0 + -72.72727273 Combine like terms: 72.72727273 + -72.72727273 = 0.00000000 0.00000000 + -12.12121212x + x2 = 0 + -72.72727273 -12.12121212x + x2 = 0 + -72.72727273 Combine like terms: 0 + -72.72727273 = -72.72727273 -12.12121212x + x2 = -72.72727273 The x term is -12.12121212x. Take half its coefficient (-6.06060606). Square it (36.73094581) and add it to both sides. Add '36.73094581' to each side of the equation. -12.12121212x + 36.73094581 + x2 = -72.72727273 + 36.73094581 Reorder the terms: 36.73094581 + -12.12121212x + x2 = -72.72727273 + 36.73094581 Combine like terms: -72.72727273 + 36.73094581 = -35.99632692 36.73094581 + -12.12121212x + x2 = -35.99632692 Factor a perfect square on the left side: (x + -6.06060606)(x + -6.06060606) = -35.99632692 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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