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Simplifying K(x) = 2x2 Multiply K * x xK = 2x2 Solving xK = 2x2 Solving for variable 'x'. Combine like terms: 2x2 + -2x2 = 0 xK + -2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(K + -2x) = 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 '(K + -2x)' equal to zero and attempt to solve: Simplifying K + -2x = 0 Solving K + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1K' to each side of the equation. K + -1K + -2x = 0 + -1K Combine like terms: K + -1K = 0 0 + -2x = 0 + -1K -2x = 0 + -1K Remove the zero: -2x = -1K Divide each side by '-2'. x = 0.5K Simplifying x = 0.5KSolution
x = {0, 0.5K}
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