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Simplifying 5x2 + -500x + 18750 = 0 Reorder the terms: 18750 + -500x + 5x2 = 0 Solving 18750 + -500x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(3750 + -100x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(3750 + -100x + x2)' equal to zero and attempt to solve: Simplifying 3750 + -100x + x2 = 0 Solving 3750 + -100x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-3750' to each side of the equation. 3750 + -100x + -3750 + x2 = 0 + -3750 Reorder the terms: 3750 + -3750 + -100x + x2 = 0 + -3750 Combine like terms: 3750 + -3750 = 0 0 + -100x + x2 = 0 + -3750 -100x + x2 = 0 + -3750 Combine like terms: 0 + -3750 = -3750 -100x + x2 = -3750 The x term is -100x. Take half its coefficient (-50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. -100x + 2500 + x2 = -3750 + 2500 Reorder the terms: 2500 + -100x + x2 = -3750 + 2500 Combine like terms: -3750 + 2500 = -1250 2500 + -100x + x2 = -1250 Factor a perfect square on the left side: (x + -50)(x + -50) = -1250 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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