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Simplifying 4x(5x + 2) = -5x + -2 Reorder the terms: 4x(2 + 5x) = -5x + -2 (2 * 4x + 5x * 4x) = -5x + -2 (8x + 20x2) = -5x + -2 Reorder the terms: 8x + 20x2 = -2 + -5x Solving 8x + 20x2 = -2 + -5x Solving for variable 'x'. Reorder the terms: 2 + 8x + 5x + 20x2 = -2 + -5x + 2 + 5x Combine like terms: 8x + 5x = 13x 2 + 13x + 20x2 = -2 + -5x + 2 + 5x Reorder the terms: 2 + 13x + 20x2 = -2 + 2 + -5x + 5x Combine like terms: -2 + 2 = 0 2 + 13x + 20x2 = 0 + -5x + 5x 2 + 13x + 20x2 = -5x + 5x Combine like terms: -5x + 5x = 0 2 + 13x + 20x2 = 0 Factor a trinomial. (2 + 5x)(1 + 4x) = 0Subproblem 1
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 = -0.4Subproblem 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 = {-0.4, -0.25}
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