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Simplifying (5x + 4)(5x + 4) = 4 Reorder the terms: (4 + 5x)(5x + 4) = 4 Reorder the terms: (4 + 5x)(4 + 5x) = 4 Multiply (4 + 5x) * (4 + 5x) (4(4 + 5x) + 5x * (4 + 5x)) = 4 ((4 * 4 + 5x * 4) + 5x * (4 + 5x)) = 4 ((16 + 20x) + 5x * (4 + 5x)) = 4 (16 + 20x + (4 * 5x + 5x * 5x)) = 4 (16 + 20x + (20x + 25x2)) = 4 Combine like terms: 20x + 20x = 40x (16 + 40x + 25x2) = 4 Solving 16 + 40x + 25x2 = 4 Solving for variable 'x'. Reorder the terms: 16 + -4 + 40x + 25x2 = 4 + -4 Combine like terms: 16 + -4 = 12 12 + 40x + 25x2 = 4 + -4 Combine like terms: 4 + -4 = 0 12 + 40x + 25x2 = 0 Factor a trinomial. (6 + 5x)(2 + 5x) = 0Subproblem 1
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Subproblem 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 = {-1.2, -0.4}
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