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Simplifying (5x + 1)(x + -5) = 0 Reorder the terms: (1 + 5x)(x + -5) = 0 Reorder the terms: (1 + 5x)(-5 + x) = 0 Multiply (1 + 5x) * (-5 + x) (1(-5 + x) + 5x * (-5 + x)) = 0 ((-5 * 1 + x * 1) + 5x * (-5 + x)) = 0 ((-5 + 1x) + 5x * (-5 + x)) = 0 (-5 + 1x + (-5 * 5x + x * 5x)) = 0 (-5 + 1x + (-25x + 5x2)) = 0 Combine like terms: 1x + -25x = -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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