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Simplifying 9 = 12x2 + -23x Reorder the terms: 9 = -23x + 12x2 Solving 9 = -23x + 12x2 Solving for variable 'x'. Reorder the terms: 9 + 23x + -12x2 = -23x + 23x + 12x2 + -12x2 Combine like terms: -23x + 23x = 0 9 + 23x + -12x2 = 0 + 12x2 + -12x2 9 + 23x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 9 + 23x + -12x2 = 0 Factor a trinomial. (9 + -4x)(1 + 3x) = 0Subproblem 1
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {2.25, -0.3333333333}
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