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Simplifying 4x2 + 97x + 520 = 0 Reorder the terms: 520 + 97x + 4x2 = 0 Solving 520 + 97x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (65 + 4x)(8 + x) = 0Subproblem 1
Set the factor '(65 + 4x)' equal to zero and attempt to solve: Simplifying 65 + 4x = 0 Solving 65 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 4x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 4x = 0 + -65 4x = 0 + -65 Combine like terms: 0 + -65 = -65 4x = -65 Divide each side by '4'. x = -16.25 Simplifying x = -16.25Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-16.25, -8}
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