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Simplifying -35x^{2}+ -5x + 30 = 0 Reorder the terms: 30 + -5x + -35x^{2}= 0 Solving 30 + -5x + -35x^{2}= 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(6 + -1x + -7x^{2}) = 0 Factor a trinomial. 5((6 + -7x)(1 + x)) = 0 Ignore the factor 5.## Subproblem 1

Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571## Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1## Solution

x = {0.8571428571, -1}

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