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Simplifying (x + -5)(5x + 1) = 0 Reorder the terms: (-5 + x)(5x + 1) = 0 Reorder the terms: (-5 + x)(1 + 5x) = 0 Multiply (-5 + x) * (1 + 5x) (-5(1 + 5x) + x(1 + 5x)) = 0 ((1 * -5 + 5x * -5) + x(1 + 5x)) = 0 ((-5 + -25x) + x(1 + 5x)) = 0 (-5 + -25x + (1 * x + 5x * x)) = 0 (-5 + -25x + (1x + 5x2)) = 0 Combine like terms: -25x + 1x = -24x (-5 + -24x + 5x2) = 0 Solving -5 + -24x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -5x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-0.2, 5}
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