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Simplifying 2x2 + -23x = -7x2 + -6x + -8 Reorder the terms: -23x + 2x2 = -7x2 + -6x + -8 Reorder the terms: -23x + 2x2 = -8 + -6x + -7x2 Solving -23x + 2x2 = -8 + -6x + -7x2 Solving for variable 'x'. Reorder the terms: 8 + -23x + 6x + 2x2 + 7x2 = -8 + -6x + -7x2 + 8 + 6x + 7x2 Combine like terms: -23x + 6x = -17x 8 + -17x + 2x2 + 7x2 = -8 + -6x + -7x2 + 8 + 6x + 7x2 Combine like terms: 2x2 + 7x2 = 9x2 8 + -17x + 9x2 = -8 + -6x + -7x2 + 8 + 6x + 7x2 Reorder the terms: 8 + -17x + 9x2 = -8 + 8 + -6x + 6x + -7x2 + 7x2 Combine like terms: -8 + 8 = 0 8 + -17x + 9x2 = 0 + -6x + 6x + -7x2 + 7x2 8 + -17x + 9x2 = -6x + 6x + -7x2 + 7x2 Combine like terms: -6x + 6x = 0 8 + -17x + 9x2 = 0 + -7x2 + 7x2 8 + -17x + 9x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 8 + -17x + 9x2 = 0 Factor a trinomial. (8 + -9x)(1 + -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 '(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 = 1Solution
x = {0.8888888889, 1}
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