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Simplifying (x + 9)(5x + 11) = 0 Reorder the terms: (9 + x)(5x + 11) = 0 Reorder the terms: (9 + x)(11 + 5x) = 0 Multiply (9 + x) * (11 + 5x) (9(11 + 5x) + x(11 + 5x)) = 0 ((11 * 9 + 5x * 9) + x(11 + 5x)) = 0 ((99 + 45x) + x(11 + 5x)) = 0 (99 + 45x + (11 * x + 5x * x)) = 0 (99 + 45x + (11x + 5x2)) = 0 Combine like terms: 45x + 11x = 56x (99 + 56x + 5x2) = 0 Solving 99 + 56x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x)(11 + 5x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(11 + 5x)' equal to zero and attempt to solve: Simplifying 11 + 5x = 0 Solving 11 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 0 + -11 5x = 0 + -11 Combine like terms: 0 + -11 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2Solution
x = {-9, -2.2}
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