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Simplifying -20x2 + 125x + -200 = 0 Reorder the terms: -200 + 125x + -20x2 = 0 Solving -200 + 125x + -20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-40 + 25x + -4x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-40 + 25x + -4x2)' equal to zero and attempt to solve: Simplifying -40 + 25x + -4x2 = 0 Solving -40 + 25x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 10 + -6.25x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6.25x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -6.25x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6.25x + x2 = 0 + -10 -6.25x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6.25x + x2 = -10 The x term is -6.25x. Take half its coefficient (-3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. -6.25x + 9.765625 + x2 = -10 + 9.765625 Reorder the terms: 9.765625 + -6.25x + x2 = -10 + 9.765625 Combine like terms: -10 + 9.765625 = -0.234375 9.765625 + -6.25x + x2 = -0.234375 Factor a perfect square on the left side: (x + -3.125)(x + -3.125) = -0.234375 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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