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Simplifying 3x2 + -33x = -6x2 + -7x + -16 Reorder the terms: -33x + 3x2 = -6x2 + -7x + -16 Reorder the terms: -33x + 3x2 = -16 + -7x + -6x2 Solving -33x + 3x2 = -16 + -7x + -6x2 Solving for variable 'x'. Reorder the terms: 16 + -33x + 7x + 3x2 + 6x2 = -16 + -7x + -6x2 + 16 + 7x + 6x2 Combine like terms: -33x + 7x = -26x 16 + -26x + 3x2 + 6x2 = -16 + -7x + -6x2 + 16 + 7x + 6x2 Combine like terms: 3x2 + 6x2 = 9x2 16 + -26x + 9x2 = -16 + -7x + -6x2 + 16 + 7x + 6x2 Reorder the terms: 16 + -26x + 9x2 = -16 + 16 + -7x + 7x + -6x2 + 6x2 Combine like terms: -16 + 16 = 0 16 + -26x + 9x2 = 0 + -7x + 7x + -6x2 + 6x2 16 + -26x + 9x2 = -7x + 7x + -6x2 + 6x2 Combine like terms: -7x + 7x = 0 16 + -26x + 9x2 = 0 + -6x2 + 6x2 16 + -26x + 9x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 16 + -26x + 9x2 = 0 Factor a trinomial. (8 + -9x)(2 + -1x) = 0Subproblem 1
Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.8888888889, 2}
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