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Simplifying 20X2 + 41X + 7 = -13 Reorder the terms: 7 + 41X + 20X2 = -13 Solving 7 + 41X + 20X2 = -13 Solving for variable 'X'. Reorder the terms: 7 + 13 + 41X + 20X2 = -13 + 13 Combine like terms: 7 + 13 = 20 20 + 41X + 20X2 = -13 + 13 Combine like terms: -13 + 13 = 0 20 + 41X + 20X2 = 0 Factor a trinomial. (5 + 4X)(4 + 5X) = 0Subproblem 1
Set the factor '(5 + 4X)' equal to zero and attempt to solve: Simplifying 5 + 4X = 0 Solving 5 + 4X = 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 + 4X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4X = 0 + -5 4X = 0 + -5 Combine like terms: 0 + -5 = -5 4X = -5 Divide each side by '4'. X = -1.25 Simplifying X = -1.25Subproblem 2
Set the factor '(4 + 5X)' equal to zero and attempt to solve: Simplifying 4 + 5X = 0 Solving 4 + 5X = 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 + 5X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5X = 0 + -4 5X = 0 + -4 Combine like terms: 0 + -4 = -4 5X = -4 Divide each side by '5'. X = -0.8 Simplifying X = -0.8Solution
X = {-1.25, -0.8}
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