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Simplifying 0 = 20x2 + 21x + -5 Reorder the terms: 0 = -5 + 21x + 20x2 Solving 0 = -5 + 21x + 20x2 Solving for variable 'x'. Combine like terms: 0 + 5 = 5 5 + -21x + -20x2 = -5 + 21x + 20x2 + 5 + -21x + -20x2 Reorder the terms: 5 + -21x + -20x2 = -5 + 5 + 21x + -21x + 20x2 + -20x2 Combine like terms: -5 + 5 = 0 5 + -21x + -20x2 = 0 + 21x + -21x + 20x2 + -20x2 5 + -21x + -20x2 = 21x + -21x + 20x2 + -20x2 Combine like terms: 21x + -21x = 0 5 + -21x + -20x2 = 0 + 20x2 + -20x2 5 + -21x + -20x2 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 5 + -21x + -20x2 = 0 Factor a trinomial. (1 + -5x)(5 + 4x) = 0Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 2
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 = -1.25Solution
x = {0.2, -1.25}
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