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Simplifying R(x) = -0.5x3 + 2.6x2 + 3x Multiply R * x xR = -0.5x3 + 2.6x2 + 3x Reorder the terms: xR = 3x + 2.6x2 + -0.5x3 Solving xR = 3x + 2.6x2 + -0.5x3 Solving for variable 'x'. Reorder the terms: -3x + xR + -2.6x2 + 0.5x3 = 3x + 2.6x2 + -0.5x3 + -3x + -2.6x2 + 0.5x3 Reorder the terms: -3x + xR + -2.6x2 + 0.5x3 = 3x + -3x + 2.6x2 + -2.6x2 + -0.5x3 + 0.5x3 Combine like terms: 3x + -3x = 0 -3x + xR + -2.6x2 + 0.5x3 = 0 + 2.6x2 + -2.6x2 + -0.5x3 + 0.5x3 -3x + xR + -2.6x2 + 0.5x3 = 2.6x2 + -2.6x2 + -0.5x3 + 0.5x3 Combine like terms: 2.6x2 + -2.6x2 = 0.0 -3x + xR + -2.6x2 + 0.5x3 = 0.0 + -0.5x3 + 0.5x3 -3x + xR + -2.6x2 + 0.5x3 = -0.5x3 + 0.5x3 Combine like terms: -0.5x3 + 0.5x3 = 0.0 -3x + xR + -2.6x2 + 0.5x3 = 0.0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + R + -2.6x + 0.5x2) = 0.0Subproblem 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 '(-3 + R + -2.6x + 0.5x2)' equal to zero and attempt to solve: Simplifying -3 + R + -2.6x + 0.5x2 = 0 Solving -3 + R + -2.6x + 0.5x2 = 0 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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