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Simplifying 4x2 = 64x * 256 Reorder the terms for easier multiplication: 4x2 = 64 * 256x Multiply 64 * 256 4x2 = 16384x Solving 4x2 = 16384x Solving for variable 'x'. Reorder the terms: -16384x + 4x2 = 16384x + -16384x Combine like terms: 16384x + -16384x = 0 -16384x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-4096 + x) = 0 Ignore the factor 4.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 '(-4096 + x)' equal to zero and attempt to solve: Simplifying -4096 + x = 0 Solving -4096 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4096' to each side of the equation. -4096 + 4096 + x = 0 + 4096 Combine like terms: -4096 + 4096 = 0 0 + x = 0 + 4096 x = 0 + 4096 Combine like terms: 0 + 4096 = 4096 x = 4096 Simplifying x = 4096Solution
x = {0, 4096}
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