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Simplifying (5x + -4)(5x + -4) = 0 Reorder the terms: (-4 + 5x)(5x + -4) = 0 Reorder the terms: (-4 + 5x)(-4 + 5x) = 0 Multiply (-4 + 5x) * (-4 + 5x) (-4(-4 + 5x) + 5x * (-4 + 5x)) = 0 ((-4 * -4 + 5x * -4) + 5x * (-4 + 5x)) = 0 ((16 + -20x) + 5x * (-4 + 5x)) = 0 (16 + -20x + (-4 * 5x + 5x * 5x)) = 0 (16 + -20x + (-20x + 25x2)) = 0 Combine like terms: -20x + -20x = -40x (16 + -40x + 25x2) = 0 Solving 16 + -40x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -5x)(4 + -5x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Solution
x = {0.8, 0.8}
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