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Simplifying (4x + 0)(4x + -4) = 0 Reorder the terms: (0 + 4x)(4x + -4) = 0 Remove the zero: (4x)(4x + -4) = 0 Remove parenthesis around (4x) 4x(4x + -4) = 0 Reorder the terms: 4x(-4 + 4x) = 0 (-4 * 4x + 4x * 4x) = 0 (-16x + 16x2) = 0 Solving -16x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16x'. 16x(-1 + x) = 0 Ignore the factor 16.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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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