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Simplifying 0 = 5x2 + 18x + -8 Reorder the terms: 0 = -8 + 18x + 5x2 Solving 0 = -8 + 18x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 8 = 8 8 + -18x + -5x2 = -8 + 18x + 5x2 + 8 + -18x + -5x2 Reorder the terms: 8 + -18x + -5x2 = -8 + 8 + 18x + -18x + 5x2 + -5x2 Combine like terms: -8 + 8 = 0 8 + -18x + -5x2 = 0 + 18x + -18x + 5x2 + -5x2 8 + -18x + -5x2 = 18x + -18x + 5x2 + -5x2 Combine like terms: 18x + -18x = 0 8 + -18x + -5x2 = 0 + 5x2 + -5x2 8 + -18x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 8 + -18x + -5x2 = 0 Factor a trinomial. (2 + -5x)(4 + x) = 0Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0.4, -4}
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