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Simplifying 5x2 + -30 = 19x + -6x2 Reorder the terms: -30 + 5x2 = 19x + -6x2 Solving -30 + 5x2 = 19x + -6x2 Solving for variable 'x'. Reorder the terms: -30 + -19x + 5x2 + 6x2 = 19x + -6x2 + -19x + 6x2 Combine like terms: 5x2 + 6x2 = 11x2 -30 + -19x + 11x2 = 19x + -6x2 + -19x + 6x2 Reorder the terms: -30 + -19x + 11x2 = 19x + -19x + -6x2 + 6x2 Combine like terms: 19x + -19x = 0 -30 + -19x + 11x2 = 0 + -6x2 + 6x2 -30 + -19x + 11x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -30 + -19x + 11x2 = 0 Factor a trinomial. (-1 + -1x)(30 + -11x) = 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 '(30 + -11x)' equal to zero and attempt to solve: Simplifying 30 + -11x = 0 Solving 30 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -11x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -11x = 0 + -30 -11x = 0 + -30 Combine like terms: 0 + -30 = -30 -11x = -30 Divide each side by '-11'. x = 2.727272727 Simplifying x = 2.727272727Solution
x = {-1, 2.727272727}
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