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Simplifying x(35x + 26) + 3 = 0 Reorder the terms: x(26 + 35x) + 3 = 0 (26 * x + 35x * x) + 3 = 0 (26x + 35x2) + 3 = 0 Reorder the terms: 3 + 26x + 35x2 = 0 Solving 3 + 26x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 5x)(1 + 7x) = 0Subproblem 1
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Solution
x = {-0.6, -0.1428571429}
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