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Simplifying 475x2 + -2500x + 50000 = 0 Reorder the terms: 50000 + -2500x + 475x2 = 0 Solving 50000 + -2500x + 475x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '25'. 25(2000 + -100x + 19x2) = 0 Ignore the factor 25.Subproblem 1
Set the factor '(2000 + -100x + 19x2)' equal to zero and attempt to solve: Simplifying 2000 + -100x + 19x2 = 0 Solving 2000 + -100x + 19x2 = 0 Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 105.2631579 + -5.263157895x + x2 = 0 Move the constant term to the right: Add '-105.2631579' to each side of the equation. 105.2631579 + -5.263157895x + -105.2631579 + x2 = 0 + -105.2631579 Reorder the terms: 105.2631579 + -105.2631579 + -5.263157895x + x2 = 0 + -105.2631579 Combine like terms: 105.2631579 + -105.2631579 = 0.0000000 0.0000000 + -5.263157895x + x2 = 0 + -105.2631579 -5.263157895x + x2 = 0 + -105.2631579 Combine like terms: 0 + -105.2631579 = -105.2631579 -5.263157895x + x2 = -105.2631579 The x term is -5.263157895x. Take half its coefficient (-2.631578948). Square it (6.925207760) and add it to both sides. Add '6.925207760' to each side of the equation. -5.263157895x + 6.925207760 + x2 = -105.2631579 + 6.925207760 Reorder the terms: 6.925207760 + -5.263157895x + x2 = -105.2631579 + 6.925207760 Combine like terms: -105.2631579 + 6.925207760 = -98.33795014 6.925207760 + -5.263157895x + x2 = -98.33795014 Factor a perfect square on the left side: (x + -2.631578948)(x + -2.631578948) = -98.33795014 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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