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Simplifying 2x2 + -20x + 89 = -87 Reorder the terms: 89 + -20x + 2x2 = -87 Solving 89 + -20x + 2x2 = -87 Solving for variable 'x'. Reorder the terms: 89 + 87 + -20x + 2x2 = -87 + 87 Combine like terms: 89 + 87 = 176 176 + -20x + 2x2 = -87 + 87 Combine like terms: -87 + 87 = 0 176 + -20x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(88 + -10x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(88 + -10x + x2)' equal to zero and attempt to solve: Simplifying 88 + -10x + x2 = 0 Solving 88 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-88' to each side of the equation. 88 + -10x + -88 + x2 = 0 + -88 Reorder the terms: 88 + -88 + -10x + x2 = 0 + -88 Combine like terms: 88 + -88 = 0 0 + -10x + x2 = 0 + -88 -10x + x2 = 0 + -88 Combine like terms: 0 + -88 = -88 -10x + x2 = -88 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -88 + 25 Reorder the terms: 25 + -10x + x2 = -88 + 25 Combine like terms: -88 + 25 = -63 25 + -10x + x2 = -63 Factor a perfect square on the left side: (x + -5)(x + -5) = -63 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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