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Simplifying 15x2 + -40x = f(x) Reorder the terms: -40x + 15x2 = f(x) Multiply f * x -40x + 15x2 = fx Solving -40x + 15x2 = fx Solving for variable 'x'. Reorder the terms: -1fx + -40x + 15x2 = fx + -1fx Combine like terms: fx + -1fx = 0 -1fx + -40x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1f + -40 + 15x) = 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 '(-1f + -40 + 15x)' equal to zero and attempt to solve: Simplifying -1f + -40 + 15x = 0 Reorder the terms: -40 + -1f + 15x = 0 Solving -40 + -1f + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -1f + 40 + 15x = 0 + 40 Reorder the terms: -40 + 40 + -1f + 15x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1f + 15x = 0 + 40 -1f + 15x = 0 + 40 Combine like terms: 0 + 40 = 40 -1f + 15x = 40 Add 'f' to each side of the equation. -1f + f + 15x = 40 + f Combine like terms: -1f + f = 0 0 + 15x = 40 + f 15x = 40 + f Divide each side by '15'. x = 2.666666667 + 0.06666666667f Simplifying x = 2.666666667 + 0.06666666667fSolution
x = {0, 2.666666667 + 0.06666666667f}
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