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Simplifying 81 + -3x = x2 + 18x + 81 Reorder the terms: 81 + -3x = 81 + 18x + x2 Add '-81' to each side of the equation. 81 + -81 + -3x = 81 + 18x + -81 + x2 Combine like terms: 81 + -81 = 0 0 + -3x = 81 + 18x + -81 + x2 -3x = 81 + 18x + -81 + x2 Reorder the terms: -3x = 81 + -81 + 18x + x2 Combine like terms: 81 + -81 = 0 -3x = 0 + 18x + x2 -3x = 18x + x2 Solving -3x = 18x + x2 Solving for variable 'x'. Combine like terms: -3x + -18x = -21x -21x + -1x2 = 18x + x2 + -18x + -1x2 Reorder the terms: -21x + -1x2 = 18x + -18x + x2 + -1x2 Combine like terms: 18x + -18x = 0 -21x + -1x2 = 0 + x2 + -1x2 -21x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -21x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(21 + x) = 0 Ignore the factor -1.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 '(21 + x)' equal to zero and attempt to solve: Simplifying 21 + x = 0 Solving 21 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + x = 0 + -21 x = 0 + -21 Combine like terms: 0 + -21 = -21 x = -21 Simplifying x = -21Solution
x = {0, -21}
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