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Simplifying 5x2 + 22x + 17 = 0 Reorder the terms: 17 + 22x + 5x2 = 0 Solving 17 + 22x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + 5x)(1 + x) = 0Subproblem 1
Set the factor '(17 + 5x)' equal to zero and attempt to solve: Simplifying 17 + 5x = 0 Solving 17 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 0 + -17 5x = 0 + -17 Combine like terms: 0 + -17 = -17 5x = -17 Divide each side by '5'. x = -3.4 Simplifying x = -3.4Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-3.4, -1}
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