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Simplifying F(x) = 10x3 + -1960x Multiply F * x xF = 10x3 + -1960x Reorder the terms: xF = -1960x + 10x3 Solving xF = -1960x + 10x3 Solving for variable 'x'. Reorder the terms: 1960x + xF + -10x3 = -1960x + 10x3 + 1960x + -10x3 Reorder the terms: 1960x + xF + -10x3 = -1960x + 1960x + 10x3 + -10x3 Combine like terms: -1960x + 1960x = 0 1960x + xF + -10x3 = 0 + 10x3 + -10x3 1960x + xF + -10x3 = 10x3 + -10x3 Combine like terms: 10x3 + -10x3 = 0 1960x + xF + -10x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1960 + F + -10x2) = 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 '(1960 + F + -10x2)' equal to zero and attempt to solve: Simplifying 1960 + F + -10x2 = 0 Solving 1960 + F + -10x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1960' to each side of the equation. 1960 + F + -1960 + -10x2 = 0 + -1960 Reorder the terms: 1960 + -1960 + F + -10x2 = 0 + -1960 Combine like terms: 1960 + -1960 = 0 0 + F + -10x2 = 0 + -1960 F + -10x2 = 0 + -1960 Combine like terms: 0 + -1960 = -1960 F + -10x2 = -1960 Add '-1F' to each side of the equation. F + -1F + -10x2 = -1960 + -1F Combine like terms: F + -1F = 0 0 + -10x2 = -1960 + -1F -10x2 = -1960 + -1F Divide each side by '-10'. x2 = 196 + 0.1F Simplifying x2 = 196 + 0.1F 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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