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Simplifying 4x2 + -72x + 334 = 0 Reorder the terms: 334 + -72x + 4x2 = 0 Solving 334 + -72x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(167 + -36x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(167 + -36x + 2x2)' equal to zero and attempt to solve: Simplifying 167 + -36x + 2x2 = 0 Solving 167 + -36x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 83.5 + -18x + x2 = 0 Move the constant term to the right: Add '-83.5' to each side of the equation. 83.5 + -18x + -83.5 + x2 = 0 + -83.5 Reorder the terms: 83.5 + -83.5 + -18x + x2 = 0 + -83.5 Combine like terms: 83.5 + -83.5 = 0.0 0.0 + -18x + x2 = 0 + -83.5 -18x + x2 = 0 + -83.5 Combine like terms: 0 + -83.5 = -83.5 -18x + x2 = -83.5 The x term is -18x. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18x + 81 + x2 = -83.5 + 81 Reorder the terms: 81 + -18x + x2 = -83.5 + 81 Combine like terms: -83.5 + 81 = -2.5 81 + -18x + x2 = -2.5 Factor a perfect square on the left side: (x + -9)(x + -9) = -2.5 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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