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Simplifying 3x2 + -58x = -6x2 + -5x + -40 Reorder the terms: -58x + 3x2 = -6x2 + -5x + -40 Reorder the terms: -58x + 3x2 = -40 + -5x + -6x2 Solving -58x + 3x2 = -40 + -5x + -6x2 Solving for variable 'x'. Reorder the terms: 40 + -58x + 5x + 3x2 + 6x2 = -40 + -5x + -6x2 + 40 + 5x + 6x2 Combine like terms: -58x + 5x = -53x 40 + -53x + 3x2 + 6x2 = -40 + -5x + -6x2 + 40 + 5x + 6x2 Combine like terms: 3x2 + 6x2 = 9x2 40 + -53x + 9x2 = -40 + -5x + -6x2 + 40 + 5x + 6x2 Reorder the terms: 40 + -53x + 9x2 = -40 + 40 + -5x + 5x + -6x2 + 6x2 Combine like terms: -40 + 40 = 0 40 + -53x + 9x2 = 0 + -5x + 5x + -6x2 + 6x2 40 + -53x + 9x2 = -5x + 5x + -6x2 + 6x2 Combine like terms: -5x + 5x = 0 40 + -53x + 9x2 = 0 + -6x2 + 6x2 40 + -53x + 9x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 40 + -53x + 9x2 = 0 Factor a trinomial. (8 + -9x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0.8888888889, 5}
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