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Simplifying -1x2 + -20x + -1125 = 0 Reorder the terms: -1125 + -20x + -1x2 = 0 Solving -1125 + -20x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(1125 + 20x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1125 + 20x + x2)' equal to zero and attempt to solve: Simplifying 1125 + 20x + x2 = 0 Solving 1125 + 20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1125' to each side of the equation. 1125 + 20x + -1125 + x2 = 0 + -1125 Reorder the terms: 1125 + -1125 + 20x + x2 = 0 + -1125 Combine like terms: 1125 + -1125 = 0 0 + 20x + x2 = 0 + -1125 20x + x2 = 0 + -1125 Combine like terms: 0 + -1125 = -1125 20x + x2 = -1125 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 = -1125 + 100 Reorder the terms: 100 + 20x + x2 = -1125 + 100 Combine like terms: -1125 + 100 = -1025 100 + 20x + x2 = -1025 Factor a perfect square on the left side: (x + 10)(x + 10) = -1025 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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