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Simplifying (5x + 1)(5 + -1x) = 0 Reorder the terms: (1 + 5x)(5 + -1x) = 0 Multiply (1 + 5x) * (5 + -1x) (1(5 + -1x) + 5x * (5 + -1x)) = 0 ((5 * 1 + -1x * 1) + 5x * (5 + -1x)) = 0 ((5 + -1x) + 5x * (5 + -1x)) = 0 (5 + -1x + (5 * 5x + -1x * 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. (5 + -1x)(1 + 5x) = 0Subproblem 1
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 = 5Subproblem 2
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 = -0.2Solution
x = {5, -0.2}
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