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Simplifying x2 = 25k2x Solving x2 = 25k2x Solving for variable 'x'. Reorder the terms: -25k2x + x2 = 25k2x + -25k2x Combine like terms: 25k2x + -25k2x = 0 -25k2x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-25k2 + x) = 0Subproblem 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 '(-25k2 + x)' equal to zero and attempt to solve: Simplifying -25k2 + x = 0 Solving -25k2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '25k2' to each side of the equation. -25k2 + 25k2 + x = 0 + 25k2 Combine like terms: -25k2 + 25k2 = 0 0 + x = 0 + 25k2 x = 0 + 25k2 Remove the zero: x = 25k2 Simplifying x = 25k2Solution
x = {0, 25k2}
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