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Simplifying (x2 + 9x + 81) + -1(x2 + -9 + -81) = 0 Reorder the terms: (81 + 9x + x2) + -1(x2 + -9 + -81) = 0 Remove parenthesis around (81 + 9x + x2) 81 + 9x + x2 + -1(x2 + -9 + -81) = 0 Reorder the terms: 81 + 9x + x2 + -1(-9 + -81 + x2) = 0 Combine like terms: -9 + -81 = -90 81 + 9x + x2 + -1(-90 + x2) = 0 81 + 9x + x2 + (-90 * -1 + x2 * -1) = 0 81 + 9x + x2 + (90 + -1x2) = 0 Reorder the terms: 81 + 90 + 9x + x2 + -1x2 = 0 Combine like terms: 81 + 90 = 171 171 + 9x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 171 + 9x + 0 = 0 171 + 9x = 0 Solving 171 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-171' to each side of the equation. 171 + -171 + 9x = 0 + -171 Combine like terms: 171 + -171 = 0 0 + 9x = 0 + -171 9x = 0 + -171 Combine like terms: 0 + -171 = -171 9x = -171 Divide each side by '9'. x = -19 Simplifying x = -19
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