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Simplifying 5x2 + 16x + -205 = 0 Reorder the terms: -205 + 16x + 5x2 = 0 Solving -205 + 16x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-41 + -5x)(5 + -1x) = 0Subproblem 1
Set the factor '(-41 + -5x)' equal to zero and attempt to solve: Simplifying -41 + -5x = 0 Solving -41 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -5x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -5x = 0 + 41 -5x = 0 + 41 Combine like terms: 0 + 41 = 41 -5x = 41 Divide each side by '-5'. x = -8.2 Simplifying x = -8.2Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-8.2, 5}
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