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Simplifying 35x2 = 19x + -2 Reorder the terms: 35x2 = -2 + 19x Solving 35x2 = -2 + 19x Solving for variable 'x'. Reorder the terms: 2 + -19x + 35x2 = -2 + 19x + 2 + -19x Reorder the terms: 2 + -19x + 35x2 = -2 + 2 + 19x + -19x Combine like terms: -2 + 2 = 0 2 + -19x + 35x2 = 0 + 19x + -19x 2 + -19x + 35x2 = 19x + -19x Combine like terms: 19x + -19x = 0 2 + -19x + 35x2 = 0 Factor a trinomial. (1 + -7x)(2 + -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 '(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 = {0.1428571429, 0.4}
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