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Simplifying 30(x2 + -1) = 11x Reorder the terms: 30(-1 + x2) = 11x (-1 * 30 + x2 * 30) = 11x (-30 + 30x2) = 11x Solving -30 + 30x2 = 11x Solving for variable 'x'. Reorder the terms: -30 + -11x + 30x2 = 11x + -11x Combine like terms: 11x + -11x = 0 -30 + -11x + 30x2 = 0 Factor a trinomial. (-5 + -6x)(6 + -5x) = 0Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve: Simplifying -5 + -6x = 0 Solving -5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 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 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-0.8333333333, 1.2}
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