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Simplifying 5x2 + -23x = -2x2 + -7x + -9 Reorder the terms: -23x + 5x2 = -2x2 + -7x + -9 Reorder the terms: -23x + 5x2 = -9 + -7x + -2x2 Solving -23x + 5x2 = -9 + -7x + -2x2 Solving for variable 'x'. Reorder the terms: 9 + -23x + 7x + 5x2 + 2x2 = -9 + -7x + -2x2 + 9 + 7x + 2x2 Combine like terms: -23x + 7x = -16x 9 + -16x + 5x2 + 2x2 = -9 + -7x + -2x2 + 9 + 7x + 2x2 Combine like terms: 5x2 + 2x2 = 7x2 9 + -16x + 7x2 = -9 + -7x + -2x2 + 9 + 7x + 2x2 Reorder the terms: 9 + -16x + 7x2 = -9 + 9 + -7x + 7x + -2x2 + 2x2 Combine like terms: -9 + 9 = 0 9 + -16x + 7x2 = 0 + -7x + 7x + -2x2 + 2x2 9 + -16x + 7x2 = -7x + 7x + -2x2 + 2x2 Combine like terms: -7x + 7x = 0 9 + -16x + 7x2 = 0 + -2x2 + 2x2 9 + -16x + 7x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 9 + -16x + 7x2 = 0 Factor a trinomial. (1 + -1x)(9 + -7x) = 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 '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286Solution
x = {1, 1.285714286}
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