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Simplifying 3x2 + 4x + -6 = 9 Reorder the terms: -6 + 4x + 3x2 = 9 Solving -6 + 4x + 3x2 = 9 Solving for variable 'x'. Reorder the terms: -6 + -9 + 4x + 3x2 = 9 + -9 Combine like terms: -6 + -9 = -15 -15 + 4x + 3x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -15 + 4x + 3x2 = 0 Factor a trinomial. (-3 + -1x)(5 + -3x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {-3, 1.666666667}
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