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Simplifying 20x2 = -11x + 4 Reorder the terms: 20x2 = 4 + -11x Solving 20x2 = 4 + -11x Solving for variable 'x'. Reorder the terms: -4 + 11x + 20x2 = 4 + -11x + -4 + 11x Reorder the terms: -4 + 11x + 20x2 = 4 + -4 + -11x + 11x Combine like terms: 4 + -4 = 0 -4 + 11x + 20x2 = 0 + -11x + 11x -4 + 11x + 20x2 = -11x + 11x Combine like terms: -11x + 11x = 0 -4 + 11x + 20x2 = 0 Factor a trinomial. (-4 + -5x)(1 + -4x) = 0Subproblem 1
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 = -0.8Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-0.8, 0.25}
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