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Simplifying 5x2 + 43x + 90 = 0 Reorder the terms: 90 + 43x + 5x2 = 0 Solving 90 + 43x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + x)(18 + 5x) = 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 '(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 = -3.6Solution
x = {-5, -3.6}
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