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Simplifying 5x2 + 33x + 54 = 0 Reorder the terms: 54 + 33x + 5x2 = 0 Solving 54 + 33x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (18 + 5x)(3 + x) = 0Subproblem 1
Set the factor '(18 + 5x)' equal to zero and attempt to solve: Simplifying 18 + 5x = 0 Solving 18 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 5x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 0 + -18 5x = 0 + -18 Combine like terms: 0 + -18 = -18 5x = -18 Divide each side by '5'. x = -3.6 Simplifying x = -3.6Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-3.6, -3}
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