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Simplifying 35x2 + 215x = -200 Reorder the terms: 215x + 35x2 = -200 Solving 215x + 35x2 = -200 Solving for variable 'x'. Reorder the terms: 200 + 215x + 35x2 = -200 + 200 Combine like terms: -200 + 200 = 0 200 + 215x + 35x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(40 + 43x + 7x2) = 0 Factor a trinomial. 5((5 + x)(8 + 7x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143Solution
x = {-5, -1.142857143}
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