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Simplifying 15x2 + -31x + -154 = 0 Reorder the terms: -154 + -31x + 15x2 = 0 Solving -154 + -31x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -3x)(22 + -5x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(22 + -5x)' equal to zero and attempt to solve: Simplifying 22 + -5x = 0 Solving 22 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 0 + -22 -5x = 0 + -22 Combine like terms: 0 + -22 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4Solution
x = {-2.333333333, 4.4}
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