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Simplifying (x + -5)(x(2) + 5x) = 0 Reorder the terms: (-5 + x)(x(2) + 5x) = 0 Reorder the terms for easier multiplication: (-5 + x)(2x + 5x) = 0 Combine like terms: 2x + 5x = 7x (-5 + x)(7x) = 0 Remove parenthesis around (7x) (-5 + x) * 7x = 0 Reorder the terms for easier multiplication: 7x(-5 + x) = 0 (-5 * 7x + x * 7x) = 0 (-35x + 7x2) = 0 Solving -35x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(-5 + x) = 0 Ignore the factor 7.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 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Solution
x = {0, 5}
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