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Simplifying 20x2 = -33x + -10 Reorder the terms: 20x2 = -10 + -33x Solving 20x2 = -10 + -33x Solving for variable 'x'. Reorder the terms: 10 + 33x + 20x2 = -10 + -33x + 10 + 33x Reorder the terms: 10 + 33x + 20x2 = -10 + 10 + -33x + 33x Combine like terms: -10 + 10 = 0 10 + 33x + 20x2 = 0 + -33x + 33x 10 + 33x + 20x2 = -33x + 33x Combine like terms: -33x + 33x = 0 10 + 33x + 20x2 = 0 Factor a trinomial. (5 + 4x)(2 + 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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-1.25, -0.4}
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