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Simplifying 4x2 + 45x + 116 = 0 Reorder the terms: 116 + 45x + 4x2 = 0 Solving 116 + 45x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (29 + 4x)(4 + x) = 0Subproblem 1
Set the factor '(29 + 4x)' equal to zero and attempt to solve: Simplifying 29 + 4x = 0 Solving 29 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 4x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = 0 + -29 4x = 0 + -29 Combine like terms: 0 + -29 = -29 4x = -29 Divide each side by '4'. x = -7.25 Simplifying x = -7.25Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-7.25, -4}
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