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Simplifying x(35x + 17) + 2 = 0 Reorder the terms: x(17 + 35x) + 2 = 0 (17 * x + 35x * x) + 2 = 0 (17x + 35x2) + 2 = 0 Reorder the terms: 2 + 17x + 35x2 = 0 Solving 2 + 17x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + 7x)(1 + 5x) = 0Subproblem 1
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Subproblem 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 = {-0.2857142857, -0.2}
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