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Simplifying (12x2) + -1(12x) + 180 = 0 Remove parenthesis around (12x) (12x2) + -1 * 12x + 180 = 0 Multiply -1 * 12 (12x2) + -12x + 180 = 0 Reorder the terms: 180 + -12x + (12x2) = 0 Solving 180 + -12x + (12x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(15 + -1x + x2) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(15 + -1x + x2)' equal to zero and attempt to solve: Simplifying 15 + -1x + x2 = 0 Solving 15 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -1x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -1x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x + x2 = 0 + -15 -1x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -1x + x2 = -15 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -15 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -15 + 0.25 Combine like terms: -15 + 0.25 = -14.75 0.25 + -1x + x2 = -14.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -14.75 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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