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Simplifying -36x2 + 56x + -36 = 0 Reorder the terms: -36 + 56x + -36x2 = 0 Solving -36 + 56x + -36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + 14x + -9x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + 14x + -9x2)' equal to zero and attempt to solve: Simplifying -9 + 14x + -9x2 = 0 Solving -9 + 14x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 1 + -1.555555556x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.555555556x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.555555556x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.555555556x + x2 = 0 + -1 -1.555555556x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.555555556x + x2 = -1 The x term is -1.555555556x. Take half its coefficient (-0.777777778). Square it (0.6049382720) and add it to both sides. Add '0.6049382720' to each side of the equation. -1.555555556x + 0.6049382720 + x2 = -1 + 0.6049382720 Reorder the terms: 0.6049382720 + -1.555555556x + x2 = -1 + 0.6049382720 Combine like terms: -1 + 0.6049382720 = -0.395061728 0.6049382720 + -1.555555556x + x2 = -0.395061728 Factor a perfect square on the left side: (x + -0.777777778)(x + -0.777777778) = -0.395061728 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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