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Simplifying 4x2 + -9x = 4f(x) Reorder the terms: -9x + 4x2 = 4f(x) Multiply f * x -9x + 4x2 = 4fx Solving -9x + 4x2 = 4fx Solving for variable 'x'. Reorder the terms: -4fx + -9x + 4x2 = 4fx + -4fx Combine like terms: 4fx + -4fx = 0 -4fx + -9x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4f + -9 + 4x) = 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 '(-4f + -9 + 4x)' equal to zero and attempt to solve: Simplifying -4f + -9 + 4x = 0 Reorder the terms: -9 + -4f + 4x = 0 Solving -9 + -4f + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -4f + 9 + 4x = 0 + 9 Reorder the terms: -9 + 9 + -4f + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4f + 4x = 0 + 9 -4f + 4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4f + 4x = 9 Add '4f' to each side of the equation. -4f + 4f + 4x = 9 + 4f Combine like terms: -4f + 4f = 0 0 + 4x = 9 + 4f 4x = 9 + 4f Divide each side by '4'. x = 2.25 + f Simplifying x = 2.25 + fSolution
x = {0, 2.25 + f}
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