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Simplifying 9x(x + 5) + (x + 5) = 0 Reorder the terms: 9x(5 + x) + (x + 5) = 0 (5 * 9x + x * 9x) + (x + 5) = 0 (45x + 9x2) + (x + 5) = 0 Reorder the terms: 45x + 9x2 + (5 + x) = 0 Remove parenthesis around (5 + x) 45x + 9x2 + 5 + x = 0 Reorder the terms: 5 + 45x + x + 9x2 = 0 Combine like terms: 45x + x = 46x 5 + 46x + 9x2 = 0 Solving 5 + 46x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + x)(1 + 9x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(1 + 9x)' equal to zero and attempt to solve: Simplifying 1 + 9x = 0 Solving 1 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 0 + -1 9x = 0 + -1 Combine like terms: 0 + -1 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111Solution
x = {-5, -0.1111111111}
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