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Simplifying -35x2 + 118x + -56 = 0 Reorder the terms: -56 + 118x + -35x2 = 0 Solving -56 + 118x + -35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + 5x)(4 + -7x) = 0Subproblem 1
Set the factor '(-14 + 5x)' equal to zero and attempt to solve: Simplifying -14 + 5x = 0 Solving -14 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 0 + 14 5x = 0 + 14 Combine like terms: 0 + 14 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {2.8, 0.5714285714}
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