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Simplifying f2 + -11fg + 24g2 = 0 Reorder the terms: -11fg + f2 + 24g2 = 0 Solving -11fg + f2 + 24g2 = 0 Solving for variable 'f'. Factor a trinomial. (f + -8g)(f + -3g) = 0Subproblem 1
Set the factor '(f + -8g)' equal to zero and attempt to solve: Simplifying f + -8g = 0 Solving f + -8g = 0 Move all terms containing f to the left, all other terms to the right. Add '8g' to each side of the equation. f + -8g + 8g = 0 + 8g Combine like terms: -8g + 8g = 0 f + 0 = 0 + 8g f = 0 + 8g Remove the zero: f = 8g Simplifying f = 8gSubproblem 2
Set the factor '(f + -3g)' equal to zero and attempt to solve: Simplifying f + -3g = 0 Solving f + -3g = 0 Move all terms containing f to the left, all other terms to the right. Add '3g' to each side of the equation. f + -3g + 3g = 0 + 3g Combine like terms: -3g + 3g = 0 f + 0 = 0 + 3g f = 0 + 3g Remove the zero: f = 3g Simplifying f = 3gSolution
f = {8g, 3g}
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