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Simplifying 10 = 5x2 + -9x + 8 Reorder the terms: 10 = 8 + -9x + 5x2 Solving 10 = 8 + -9x + 5x2 Solving for variable 'x'. Combine like terms: 10 + -8 = 2 2 + 9x + -5x2 = 8 + -9x + 5x2 + -8 + 9x + -5x2 Reorder the terms: 2 + 9x + -5x2 = 8 + -8 + -9x + 9x + 5x2 + -5x2 Combine like terms: 8 + -8 = 0 2 + 9x + -5x2 = 0 + -9x + 9x + 5x2 + -5x2 2 + 9x + -5x2 = -9x + 9x + 5x2 + -5x2 Combine like terms: -9x + 9x = 0 2 + 9x + -5x2 = 0 + 5x2 + -5x2 2 + 9x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 2 + 9x + -5x2 = 0 Factor a trinomial. (2 + -1x)(1 + 5x) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {2, -0.2}
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