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Simplifying 9x(x + 1) = 154 Reorder the terms: 9x(1 + x) = 154 (1 * 9x + x * 9x) = 154 (9x + 9x2) = 154 Solving 9x + 9x2 = 154 Solving for variable 'x'. Reorder the terms: -154 + 9x + 9x2 = 154 + -154 Combine like terms: 154 + -154 = 0 -154 + 9x + 9x2 = 0 Factor a trinomial. (-14 + -3x)(11 + -3x) = 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 '(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 = 3.666666667Solution
x = {-4.666666667, 3.666666667}
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