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Simplifying (5x + 2)(5x + 2) = 0 Reorder the terms: (2 + 5x)(5x + 2) = 0 Reorder the terms: (2 + 5x)(2 + 5x) = 0 Multiply (2 + 5x) * (2 + 5x) (2(2 + 5x) + 5x * (2 + 5x)) = 0 ((2 * 2 + 5x * 2) + 5x * (2 + 5x)) = 0 ((4 + 10x) + 5x * (2 + 5x)) = 0 (4 + 10x + (2 * 5x + 5x * 5x)) = 0 (4 + 10x + (10x + 25x2)) = 0 Combine like terms: 10x + 10x = 20x (4 + 20x + 25x2) = 0 Solving 4 + 20x + 25x2 = 0 Solving for variable 'x'. 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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