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Simplifying F(x) = 5Cx(0.25) * x(0.75) * 5 + -1x Multiply F * x xF = 5Cx(0.25) * x(0.75) * 5 + -1x Reorder the terms for easier multiplication: xF = 5 * 0.25 * 0.75 * 5xC * x + -1x Multiply 5 * 0.25 xF = 1.25 * 0.75 * 5xC * x + -1x Multiply 1.25 * 0.75 xF = 0.9375 * 5xC * x + -1x Multiply 0.9375 * 5 xF = 4.6875xC * x + -1x Multiply xC * x xF = 4.6875x2C + -1x Reorder the terms: xF = -1x + 4.6875x2C Solving xF = -1x + 4.6875x2C Solving for variable 'x'. Reorder the terms: x + xF + -4.6875x2C = -1x + 4.6875x2C + x + -4.6875x2C Reorder the terms: x + xF + -4.6875x2C = -1x + x + 4.6875x2C + -4.6875x2C Combine like terms: -1x + x = 0 x + xF + -4.6875x2C = 0 + 4.6875x2C + -4.6875x2C x + xF + -4.6875x2C = 4.6875x2C + -4.6875x2C Combine like terms: 4.6875x2C + -4.6875x2C = 0.0000 x + xF + -4.6875x2C = 0.0000 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + F + -4.6875xC) = 0.0000Subproblem 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 '(1 + F + -4.6875xC)' equal to zero and attempt to solve: Simplifying 1 + F + -4.6875xC = 0 Solving 1 + F + -4.6875xC = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + F + -1 + -4.6875xC = 0 + -1 Reorder the terms: 1 + -1 + F + -4.6875xC = 0 + -1 Combine like terms: 1 + -1 = 0 0 + F + -4.6875xC = 0 + -1 F + -4.6875xC = 0 + -1 Combine like terms: 0 + -1 = -1 F + -4.6875xC = -1 Add '-1F' to each side of the equation. F + -1F + -4.6875xC = -1 + -1F Combine like terms: F + -1F = 0 0 + -4.6875xC = -1 + -1F -4.6875xC = -1 + -1F Divide each side by '-4.6875C'. x = 0.2133333333C-1 + 0.2133333333C-1F Simplifying x = 0.2133333333C-1 + 0.2133333333C-1FSolution
x = {0, 0.2133333333C-1 + 0.2133333333C-1F}
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