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Simplifying (3 + -9[x2 + 8x + 16] + 141) = 0 Reorder the terms: (3 + -9[16 + 8x + x2] + 141) = 0 (3 + [16 * -9 + 8x * -9 + x2 * -9] + 141) = 0 (3 + [-144 + -72x + -9x2] + 141) = 0 Reorder the terms: (3 + -144 + 141 + -72x + -9x2) = 0 Combine like terms: 3 + -144 = -141 (-141 + 141 + -72x + -9x2) = 0 Combine like terms: -141 + 141 = 0 (0 + -72x + -9x2) = 0 (-72x + -9x2) = 0 Remove parenthesis around (-72x + -9x2) -72x + -9x2 = 0 Solving -72x + -9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-9x'. -9x(8 + x) = 0 Ignore the factor -9.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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {0, -8}
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