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Simplifying -2x2 + 28x + -120 = 0 Reorder the terms: -120 + 28x + -2x2 = 0 Solving -120 + 28x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-60 + 14x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-60 + 14x + -1x2)' equal to zero and attempt to solve: Simplifying -60 + 14x + -1x2 = 0 Solving -60 + 14x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 60 + -14x + x2 = 0 Move the constant term to the right: Add '-60' to each side of the equation. 60 + -14x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + -14x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -14x + x2 = 0 + -60 -14x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 -14x + x2 = -60 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -60 + 49 Reorder the terms: 49 + -14x + x2 = -60 + 49 Combine like terms: -60 + 49 = -11 49 + -14x + x2 = -11 Factor a perfect square on the left side: (x + -7)(x + -7) = -11 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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