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Simplifying 9x2 + -120x + 900 = 0 Reorder the terms: 900 + -120x + 9x2 = 0 Solving 900 + -120x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(300 + -40x + 3x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(300 + -40x + 3x2)' equal to zero and attempt to solve: Simplifying 300 + -40x + 3x2 = 0 Solving 300 + -40x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 100 + -13.33333333x + x2 = 0 Move the constant term to the right: Add '-100' to each side of the equation. 100 + -13.33333333x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + -13.33333333x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -13.33333333x + x2 = 0 + -100 -13.33333333x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 -13.33333333x + x2 = -100 The x term is -13.33333333x. Take half its coefficient (-6.666666665). Square it (44.44444442) and add it to both sides. Add '44.44444442' to each side of the equation. -13.33333333x + 44.44444442 + x2 = -100 + 44.44444442 Reorder the terms: 44.44444442 + -13.33333333x + x2 = -100 + 44.44444442 Combine like terms: -100 + 44.44444442 = -55.55555558 44.44444442 + -13.33333333x + x2 = -55.55555558 Factor a perfect square on the left side: (x + -6.666666665)(x + -6.666666665) = -55.55555558 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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