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Simplifying R(x) = 400x + -80x Multiply R * x xR = 400x + -80x Combine like terms: 400x + -80x = 320x xR = 320x Solving xR = 320x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-320x' to each side of the equation. -320x + xR = 320x + -320x Combine like terms: 320x + -320x = 0 -320x + xR = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-320 + R) = 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 '(-320 + R)' equal to zero and attempt to solve: Simplifying -320 + R = 0 Solving -320 + R = 0 Move all terms containing x to the left, all other terms to the right. Add '320' to each side of the equation. -320 + 320 + R = 0 + 320 Combine like terms: -320 + 320 = 0 0 + R = 0 + 320 R = 0 + 320 Combine like terms: 0 + 320 = 320 R = 320 Add '-1R' to each side of the equation. R + -1R = 320 + -1R Combine like terms: R + -1R = 0 0 = 320 + -1R Simplifying 0 = 320 + -1R The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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