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Simplifying 144x2 + -108x + 432 = 0 Reorder the terms: 432 + -108x + 144x2 = 0 Solving 432 + -108x + 144x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '36'. 36(12 + -3x + 4x2) = 0 Ignore the factor 36.Subproblem 1
Set the factor '(12 + -3x + 4x2)' equal to zero and attempt to solve: Simplifying 12 + -3x + 4x2 = 0 Solving 12 + -3x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3 + -0.75x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.75x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -0.75x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.75x + x2 = 0 + -3 -0.75x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.75x + x2 = -3 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -3 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -3 + 0.140625 Combine like terms: -3 + 0.140625 = -2.859375 0.140625 + -0.75x + x2 = -2.859375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -2.859375 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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