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Simplifying F(x) = 5x2 + -20 + 20 Multiply F * x xF = 5x2 + -20 + 20 Reorder the terms: xF = -20 + 20 + 5x2 Combine like terms: -20 + 20 = 0 xF = 0 + 5x2 xF = 5x2 Solving xF = 5x2 Solving for variable 'x'. Combine like terms: 5x2 + -5x2 = 0 xF + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(F + -5x) = 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 '(F + -5x)' equal to zero and attempt to solve: Simplifying F + -5x = 0 Solving F + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1F + -5x = 0 + -1F Combine like terms: F + -1F = 0 0 + -5x = 0 + -1F -5x = 0 + -1F Remove the zero: -5x = -1F Divide each side by '-5'. x = 0.2F Simplifying x = 0.2FSolution
x = {0, 0.2F}
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