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Simplifying 3x2 + 20x + -23 = 9 Reorder the terms: -23 + 20x + 3x2 = 9 Solving -23 + 20x + 3x2 = 9 Solving for variable 'x'. Reorder the terms: -23 + -9 + 20x + 3x2 = 9 + -9 Combine like terms: -23 + -9 = -32 -32 + 20x + 3x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -32 + 20x + 3x2 = 0 Factor a trinomial. (-8 + -1x)(4 + -3x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-8, 1.333333333}
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