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Simplifying 0 = 35x2 + 24x + -35 Reorder the terms: 0 = -35 + 24x + 35x2 Solving 0 = -35 + 24x + 35x2 Solving for variable 'x'. Combine like terms: 0 + 35 = 35 35 + -24x + -35x2 = -35 + 24x + 35x2 + 35 + -24x + -35x2 Reorder the terms: 35 + -24x + -35x2 = -35 + 35 + 24x + -24x + 35x2 + -35x2 Combine like terms: -35 + 35 = 0 35 + -24x + -35x2 = 0 + 24x + -24x + 35x2 + -35x2 35 + -24x + -35x2 = 24x + -24x + 35x2 + -35x2 Combine like terms: 24x + -24x = 0 35 + -24x + -35x2 = 0 + 35x2 + -35x2 35 + -24x + -35x2 = 35x2 + -35x2 Combine like terms: 35x2 + -35x2 = 0 35 + -24x + -35x2 = 0 Factor a trinomial. (5 + -7x)(7 + 5x) = 0Subproblem 1
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Solution
x = {0.7142857143, -1.4}
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