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Simplifying (8x + -5)(2x + 6x) = 0 Reorder the terms: (-5 + 8x)(2x + 6x) = 0 Combine like terms: 2x + 6x = 8x (-5 + 8x)(8x) = 0 Remove parenthesis around (8x) (-5 + 8x) * 8x = 0 Reorder the terms for easier multiplication: 8x(-5 + 8x) = 0 (-5 * 8x + 8x * 8x) = 0 (-40x + 64x2) = 0 Solving -40x + 64x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(-5 + 8x) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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, 0.625}
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