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Simplifying 3x(4 + x) = 14 + x (4 * 3x + x * 3x) = 14 + x (12x + 3x2) = 14 + x Solving 12x + 3x2 = 14 + x Solving for variable 'x'. Reorder the terms: -14 + 12x + -1x + 3x2 = 14 + x + -14 + -1x Combine like terms: 12x + -1x = 11x -14 + 11x + 3x2 = 14 + x + -14 + -1x Reorder the terms: -14 + 11x + 3x2 = 14 + -14 + x + -1x Combine like terms: 14 + -14 = 0 -14 + 11x + 3x2 = 0 + x + -1x -14 + 11x + 3x2 = x + -1x Combine like terms: x + -1x = 0 -14 + 11x + 3x2 = 0 Factor a trinomial. (-14 + -3x)(1 + -1x) = 0Subproblem 1
Set the factor '(-14 + -3x)' equal to zero and attempt to solve: Simplifying -14 + -3x = 0 Solving -14 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 0 + 14 -3x = 0 + 14 Combine like terms: 0 + 14 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-4.666666667, 1}
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