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Simplifying R(x) = 210x + -70x2 Multiply R * x xR = 210x + -70x2 Solving xR = 210x + -70x2 Solving for variable 'x'. Reorder the terms: -210x + xR + 70x2 = 210x + -70x2 + -210x + 70x2 Reorder the terms: -210x + xR + 70x2 = 210x + -210x + -70x2 + 70x2 Combine like terms: 210x + -210x = 0 -210x + xR + 70x2 = 0 + -70x2 + 70x2 -210x + xR + 70x2 = -70x2 + 70x2 Combine like terms: -70x2 + 70x2 = 0 -210x + xR + 70x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-210 + R + 70x) = 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 '(-210 + R + 70x)' equal to zero and attempt to solve: Simplifying -210 + R + 70x = 0 Solving -210 + R + 70x = 0 Move all terms containing x to the left, all other terms to the right. Add '210' to each side of the equation. -210 + R + 210 + 70x = 0 + 210 Reorder the terms: -210 + 210 + R + 70x = 0 + 210 Combine like terms: -210 + 210 = 0 0 + R + 70x = 0 + 210 R + 70x = 0 + 210 Combine like terms: 0 + 210 = 210 R + 70x = 210 Add '-1R' to each side of the equation. R + -1R + 70x = 210 + -1R Combine like terms: R + -1R = 0 0 + 70x = 210 + -1R 70x = 210 + -1R Divide each side by '70'. x = 3 + -0.01428571429R Simplifying x = 3 + -0.01428571429RSolution
x = {0, 3 + -0.01428571429R}
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