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Simplifying -1x2 + -5x + -180 = 0 Reorder the terms: -180 + -5x + -1x2 = 0 Solving -180 + -5x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(180 + 5x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(180 + 5x + x2)' equal to zero and attempt to solve: Simplifying 180 + 5x + x2 = 0 Solving 180 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-180' to each side of the equation. 180 + 5x + -180 + x2 = 0 + -180 Reorder the terms: 180 + -180 + 5x + x2 = 0 + -180 Combine like terms: 180 + -180 = 0 0 + 5x + x2 = 0 + -180 5x + x2 = 0 + -180 Combine like terms: 0 + -180 = -180 5x + x2 = -180 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -180 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -180 + 6.25 Combine like terms: -180 + 6.25 = -173.75 6.25 + 5x + x2 = -173.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -173.75 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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