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Simplifying 25x(x + 1) = 15x + -1 Reorder the terms: 25x(1 + x) = 15x + -1 (1 * 25x + x * 25x) = 15x + -1 (25x + 25x2) = 15x + -1 Reorder the terms: 25x + 25x2 = -1 + 15x Solving 25x + 25x2 = -1 + 15x Solving for variable 'x'. Reorder the terms: 1 + 25x + -15x + 25x2 = -1 + 15x + 1 + -15x Combine like terms: 25x + -15x = 10x 1 + 10x + 25x2 = -1 + 15x + 1 + -15x Reorder the terms: 1 + 10x + 25x2 = -1 + 1 + 15x + -15x Combine like terms: -1 + 1 = 0 1 + 10x + 25x2 = 0 + 15x + -15x 1 + 10x + 25x2 = 15x + -15x Combine like terms: 15x + -15x = 0 1 + 10x + 25x2 = 0 Factor a trinomial. (1 + 5x)(1 + 5x) = 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 '(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 = {-0.2, -0.2}
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