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Simplifying R(x) = 1600x + -1x2 Multiply R * x xR = 1600x + -1x2 Solving xR = 1600x + -1x2 Solving for variable 'x'. Reorder the terms: -1600x + xR + x2 = 1600x + -1x2 + -1600x + x2 Reorder the terms: -1600x + xR + x2 = 1600x + -1600x + -1x2 + x2 Combine like terms: 1600x + -1600x = 0 -1600x + xR + x2 = 0 + -1x2 + x2 -1600x + xR + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -1600x + xR + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1600 + R + 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 '(-1600 + R + x)' equal to zero and attempt to solve: Simplifying -1600 + R + x = 0 Solving -1600 + R + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1600' to each side of the equation. -1600 + R + 1600 + x = 0 + 1600 Reorder the terms: -1600 + 1600 + R + x = 0 + 1600 Combine like terms: -1600 + 1600 = 0 0 + R + x = 0 + 1600 R + x = 0 + 1600 Combine like terms: 0 + 1600 = 1600 R + x = 1600 Add '-1R' to each side of the equation. R + -1R + x = 1600 + -1R Combine like terms: R + -1R = 0 0 + x = 1600 + -1R x = 1600 + -1R Simplifying x = 1600 + -1RSolution
x = {0, 1600 + -1R}
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