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Simplifying -40x2 + 800x + -10000 = 0 Reorder the terms: -10000 + 800x + -40x2 = 0 Solving -10000 + 800x + -40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '40'. 40(-250 + 20x + -1x2) = 0 Ignore the factor 40.Subproblem 1
Set the factor '(-250 + 20x + -1x2)' equal to zero and attempt to solve: Simplifying -250 + 20x + -1x2 = 0 Solving -250 + 20x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 250 + -20x + x2 = 0 Move the constant term to the right: Add '-250' to each side of the equation. 250 + -20x + -250 + x2 = 0 + -250 Reorder the terms: 250 + -250 + -20x + x2 = 0 + -250 Combine like terms: 250 + -250 = 0 0 + -20x + x2 = 0 + -250 -20x + x2 = 0 + -250 Combine like terms: 0 + -250 = -250 -20x + x2 = -250 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -250 + 100 Reorder the terms: 100 + -20x + x2 = -250 + 100 Combine like terms: -250 + 100 = -150 100 + -20x + x2 = -150 Factor a perfect square on the left side: (x + -10)(x + -10) = -150 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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