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Simplifying (5x + -2)(5x + 1) = 0 Reorder the terms: (-2 + 5x)(5x + 1) = 0 Reorder the terms: (-2 + 5x)(1 + 5x) = 0 Multiply (-2 + 5x) * (1 + 5x) (-2(1 + 5x) + 5x * (1 + 5x)) = 0 ((1 * -2 + 5x * -2) + 5x * (1 + 5x)) = 0 ((-2 + -10x) + 5x * (1 + 5x)) = 0 (-2 + -10x + (1 * 5x + 5x * 5x)) = 0 (-2 + -10x + (5x + 25x2)) = 0 Combine like terms: -10x + 5x = -5x (-2 + -5x + 25x2) = 0 Solving -2 + -5x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -5x)(2 + -5x) = 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 '(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 = {-0.2, 0.4}
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