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Simplifying 2x2 + -10x = -360 Reorder the terms: -10x + 2x2 = -360 Solving -10x + 2x2 = -360 Solving for variable 'x'. Reorder the terms: 360 + -10x + 2x2 = -360 + 360 Combine like terms: -360 + 360 = 0 360 + -10x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(180 + -5x + x2) = 0 Ignore the factor 2.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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