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Simplifying (5x + 1)(x + -2) = 0 Reorder the terms: (1 + 5x)(x + -2) = 0 Reorder the terms: (1 + 5x)(-2 + x) = 0 Multiply (1 + 5x) * (-2 + x) (1(-2 + x) + 5x * (-2 + x)) = 0 ((-2 * 1 + x * 1) + 5x * (-2 + x)) = 0 ((-2 + 1x) + 5x * (-2 + x)) = 0 (-2 + 1x + (-2 * 5x + x * 5x)) = 0 (-2 + 1x + (-10x + 5x2)) = 0 Combine like terms: 1x + -10x = -9x (-2 + -9x + 5x2) = 0 Solving -2 + -9x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -5x)(2 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.2, 2}
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