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Simplifying (x + 11)(4x + 9) = 0 Reorder the terms: (11 + x)(4x + 9) = 0 Reorder the terms: (11 + x)(9 + 4x) = 0 Multiply (11 + x) * (9 + 4x) (11(9 + 4x) + x(9 + 4x)) = 0 ((9 * 11 + 4x * 11) + x(9 + 4x)) = 0 ((99 + 44x) + x(9 + 4x)) = 0 (99 + 44x + (9 * x + 4x * x)) = 0 (99 + 44x + (9x + 4x2)) = 0 Combine like terms: 44x + 9x = 53x (99 + 53x + 4x2) = 0 Solving 99 + 53x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + x)(9 + 4x) = 0Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 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 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 2
Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 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 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25Solution
x = {-11, -2.25}
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