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Simplifying (5x + -2)(1 + -1x) = 0 Reorder the terms: (-2 + 5x)(1 + -1x) = 0 Multiply (-2 + 5x) * (1 + -1x) (-2(1 + -1x) + 5x * (1 + -1x)) = 0 ((1 * -2 + -1x * -2) + 5x * (1 + -1x)) = 0 ((-2 + 2x) + 5x * (1 + -1x)) = 0 (-2 + 2x + (1 * 5x + -1x * 5x)) = 0 (-2 + 2x + (5x + -5x2)) = 0 Combine like terms: 2x + 5x = 7x (-2 + 7x + -5x2) = 0 Solving -2 + 7x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + x)(2 + -5x) = 0Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Subproblem 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, 0.4}
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