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Simplifying -2x2 + 12x + -180 = 0 Reorder the terms: -180 + 12x + -2x2 = 0 Solving -180 + 12x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-90 + 6x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-90 + 6x + -1x2)' equal to zero and attempt to solve: Simplifying -90 + 6x + -1x2 = 0 Solving -90 + 6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 90 + -6x + x2 = 0 Move the constant term to the right: Add '-90' to each side of the equation. 90 + -6x + -90 + x2 = 0 + -90 Reorder the terms: 90 + -90 + -6x + x2 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -6x + x2 = 0 + -90 -6x + x2 = 0 + -90 Combine like terms: 0 + -90 = -90 -6x + x2 = -90 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -90 + 9 Reorder the terms: 9 + -6x + x2 = -90 + 9 Combine like terms: -90 + 9 = -81 9 + -6x + x2 = -81 Factor a perfect square on the left side: (x + -3)(x + -3) = -81 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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