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Simplifying x(6x + 13) = 33 Reorder the terms: x(13 + 6x) = 33 (13 * x + 6x * x) = 33 (13x + 6x2) = 33 Solving 13x + 6x2 = 33 Solving for variable 'x'. Reorder the terms: -33 + 13x + 6x2 = 33 + -33 Combine like terms: 33 + -33 = 0 -33 + 13x + 6x2 = 0 Factor a trinomial. (-11 + -3x)(3 + -2x) = 0Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve: Simplifying -11 + -3x = 0 Solving -11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-3.666666667, 1.5}
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