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Simplifying 25x(x + 1) + 7 = 3 + 5x Reorder the terms: 25x(1 + x) + 7 = 3 + 5x (1 * 25x + x * 25x) + 7 = 3 + 5x (25x + 25x2) + 7 = 3 + 5x Reorder the terms: 7 + 25x + 25x2 = 3 + 5x Solving 7 + 25x + 25x2 = 3 + 5x Solving for variable 'x'. Reorder the terms: 7 + -3 + 25x + -5x + 25x2 = 3 + 5x + -3 + -5x Combine like terms: 7 + -3 = 4 4 + 25x + -5x + 25x2 = 3 + 5x + -3 + -5x Combine like terms: 25x + -5x = 20x 4 + 20x + 25x2 = 3 + 5x + -3 + -5x Reorder the terms: 4 + 20x + 25x2 = 3 + -3 + 5x + -5x Combine like terms: 3 + -3 = 0 4 + 20x + 25x2 = 0 + 5x + -5x 4 + 20x + 25x2 = 5x + -5x Combine like terms: 5x + -5x = 0 4 + 20x + 25x2 = 0 Factor a trinomial. (2 + 5x)(2 + 5x) = 0Subproblem 1
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-0.4, -0.4}
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