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Simplifying 5x2 + 56x + 155 = 0 Reorder the terms: 155 + 56x + 5x2 = 0 Solving 155 + 56x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (31 + 5x)(5 + x) = 0Subproblem 1
Set the factor '(31 + 5x)' equal to zero and attempt to solve: Simplifying 31 + 5x = 0 Solving 31 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 5x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = 0 + -31 5x = 0 + -31 Combine like terms: 0 + -31 = -31 5x = -31 Divide each side by '5'. x = -6.2 Simplifying x = -6.2Subproblem 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 = {-6.2, -5}
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