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Simplifying 35x2 = 26x + -3 Reorder the terms: 35x2 = -3 + 26x Solving 35x2 = -3 + 26x Solving for variable 'x'. Reorder the terms: 3 + -26x + 35x2 = -3 + 26x + 3 + -26x Reorder the terms: 3 + -26x + 35x2 = -3 + 3 + 26x + -26x Combine like terms: -3 + 3 = 0 3 + -26x + 35x2 = 0 + 26x + -26x 3 + -26x + 35x2 = 26x + -26x Combine like terms: 26x + -26x = 0 3 + -26x + 35x2 = 0 Factor a trinomial. (1 + -7x)(3 + -5x) = 0Subproblem 1
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 = 0.1428571429Subproblem 2
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 = 0.6Solution
x = {0.1428571429, 0.6}
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