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Simplifying 4x2 + 43x + 70 = 0 Reorder the terms: 70 + 43x + 4x2 = 0 Solving 70 + 43x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (35 + 4x)(2 + x) = 0Subproblem 1
Set the factor '(35 + 4x)' equal to zero and attempt to solve: Simplifying 35 + 4x = 0 Solving 35 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 4x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 0 + -35 4x = 0 + -35 Combine like terms: 0 + -35 = -35 4x = -35 Divide each side by '4'. x = -8.75 Simplifying x = -8.75Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-8.75, -2}
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