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Simplifying 2x2 + 23x + 30 = 154 Reorder the terms: 30 + 23x + 2x2 = 154 Solving 30 + 23x + 2x2 = 154 Solving for variable 'x'. Reorder the terms: 30 + -154 + 23x + 2x2 = 154 + -154 Combine like terms: 30 + -154 = -124 -124 + 23x + 2x2 = 154 + -154 Combine like terms: 154 + -154 = 0 -124 + 23x + 2x2 = 0 Factor a trinomial. (-31 + -2x)(4 + -1x) = 0Subproblem 1
Set the factor '(-31 + -2x)' equal to zero and attempt to solve: Simplifying -31 + -2x = 0 Solving -31 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -2x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -2x = 0 + 31 -2x = 0 + 31 Combine like terms: 0 + 31 = 31 -2x = 31 Divide each side by '-2'. x = -15.5 Simplifying x = -15.5Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-15.5, 4}
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