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Simplifying 2x2 + -36x + 324 = 0 Reorder the terms: 324 + -36x + 2x2 = 0 Solving 324 + -36x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(162 + -18x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(162 + -18x + x2)' equal to zero and attempt to solve: Simplifying 162 + -18x + x2 = 0 Solving 162 + -18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-162' to each side of the equation. 162 + -18x + -162 + x2 = 0 + -162 Reorder the terms: 162 + -162 + -18x + x2 = 0 + -162 Combine like terms: 162 + -162 = 0 0 + -18x + x2 = 0 + -162 -18x + x2 = 0 + -162 Combine like terms: 0 + -162 = -162 -18x + x2 = -162 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 = -162 + 81 Reorder the terms: 81 + -18x + x2 = -162 + 81 Combine like terms: -162 + 81 = -81 81 + -18x + x2 = -81 Factor a perfect square on the left side: (x + -9)(x + -9) = -81 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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