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Simplifying 3x2 = 14x + 24 Reorder the terms: 3x2 = 24 + 14x Solving 3x2 = 24 + 14x Solving for variable 'x'. Reorder the terms: -24 + -14x + 3x2 = 24 + 14x + -24 + -14x Reorder the terms: -24 + -14x + 3x2 = 24 + -24 + 14x + -14x Combine like terms: 24 + -24 = 0 -24 + -14x + 3x2 = 0 + 14x + -14x -24 + -14x + 3x2 = 14x + -14x Combine like terms: 14x + -14x = 0 -24 + -14x + 3x2 = 0 Factor a trinomial. (-4 + -3x)(6 + -1x) = 0Subproblem 1
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 = -1.333333333Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-1.333333333, 6}
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