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Simplifying x(3x + -11) = 14 Reorder the terms: x(-11 + 3x) = 14 (-11 * x + 3x * x) = 14 (-11x + 3x2) = 14 Solving -11x + 3x2 = 14 Solving for variable 'x'. Reorder the terms: -14 + -11x + 3x2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -11x + 3x2 = 0 Factor a trinomial. (-1 + -1x)(14 + -3x) = 0Subproblem 1
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 = -1Subproblem 2
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 = 4.666666667Solution
x = {-1, 4.666666667}
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