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Simplifying 5x2 + 17x + 8 = 2 Reorder the terms: 8 + 17x + 5x2 = 2 Solving 8 + 17x + 5x2 = 2 Solving for variable 'x'. Reorder the terms: 8 + -2 + 17x + 5x2 = 2 + -2 Combine like terms: 8 + -2 = 6 6 + 17x + 5x2 = 2 + -2 Combine like terms: 2 + -2 = 0 6 + 17x + 5x2 = 0 Factor a trinomial. (3 + x)(2 + 5x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-3, -0.4}
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