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Simplifying x2 + x2 + 18x + 81 = 4x2 + -36x + 81 Reorder the terms: 81 + 18x + x2 + x2 = 4x2 + -36x + 81 Combine like terms: x2 + x2 = 2x2 81 + 18x + 2x2 = 4x2 + -36x + 81 Reorder the terms: 81 + 18x + 2x2 = 81 + -36x + 4x2 Add '-81' to each side of the equation. 81 + 18x + -81 + 2x2 = 81 + -36x + -81 + 4x2 Reorder the terms: 81 + -81 + 18x + 2x2 = 81 + -36x + -81 + 4x2 Combine like terms: 81 + -81 = 0 0 + 18x + 2x2 = 81 + -36x + -81 + 4x2 18x + 2x2 = 81 + -36x + -81 + 4x2 Reorder the terms: 18x + 2x2 = 81 + -81 + -36x + 4x2 Combine like terms: 81 + -81 = 0 18x + 2x2 = 0 + -36x + 4x2 18x + 2x2 = -36x + 4x2 Solving 18x + 2x2 = -36x + 4x2 Solving for variable 'x'. Reorder the terms: 18x + 36x + 2x2 + -4x2 = -36x + 4x2 + 36x + -4x2 Combine like terms: 18x + 36x = 54x 54x + 2x2 + -4x2 = -36x + 4x2 + 36x + -4x2 Combine like terms: 2x2 + -4x2 = -2x2 54x + -2x2 = -36x + 4x2 + 36x + -4x2 Reorder the terms: 54x + -2x2 = -36x + 36x + 4x2 + -4x2 Combine like terms: -36x + 36x = 0 54x + -2x2 = 0 + 4x2 + -4x2 54x + -2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 54x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(27 + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(27 + -1x)' equal to zero and attempt to solve: Simplifying 27 + -1x = 0 Solving 27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 0 + -27 -1x = 0 + -27 Combine like terms: 0 + -27 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27Solution
x = {0, 27}
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