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Simplifying (8x + -5)(8x + -5) = 0 Reorder the terms: (-5 + 8x)(8x + -5) = 0 Reorder the terms: (-5 + 8x)(-5 + 8x) = 0 Multiply (-5 + 8x) * (-5 + 8x) (-5(-5 + 8x) + 8x * (-5 + 8x)) = 0 ((-5 * -5 + 8x * -5) + 8x * (-5 + 8x)) = 0 ((25 + -40x) + 8x * (-5 + 8x)) = 0 (25 + -40x + (-5 * 8x + 8x * 8x)) = 0 (25 + -40x + (-40x + 64x2)) = 0 Combine like terms: -40x + -40x = -80x (25 + -80x + 64x2) = 0 Solving 25 + -80x + 64x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -8x)(5 + -8x) = 0Subproblem 1
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Subproblem 2
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Solution
x = {0.625, 0.625}
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