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Simplifying 0 = 4x2 + 59x + 195 Reorder the terms: 0 = 195 + 59x + 4x2 Solving 0 = 195 + 59x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -195 = -195 -195 + -59x + -4x2 = 195 + 59x + 4x2 + -195 + -59x + -4x2 Reorder the terms: -195 + -59x + -4x2 = 195 + -195 + 59x + -59x + 4x2 + -4x2 Combine like terms: 195 + -195 = 0 -195 + -59x + -4x2 = 0 + 59x + -59x + 4x2 + -4x2 -195 + -59x + -4x2 = 59x + -59x + 4x2 + -4x2 Combine like terms: 59x + -59x = 0 -195 + -59x + -4x2 = 0 + 4x2 + -4x2 -195 + -59x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -195 + -59x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(195 + 59x + 4x2) = 0 Factor a trinomial. -1((39 + 4x)(5 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(39 + 4x)' equal to zero and attempt to solve: Simplifying 39 + 4x = 0 Solving 39 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 4x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 4x = 0 + -39 4x = 0 + -39 Combine like terms: 0 + -39 = -39 4x = -39 Divide each side by '4'. x = -9.75 Simplifying x = -9.75Subproblem 2
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 = -5Solution
x = {-9.75, -5}
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