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Simplifying f(x) * 8x + -2g(x) = 5x2 Reorder the terms for easier multiplication: 8f * x * x + -2g(x) = 5x2 Multiply f * x 8fx * x + -2g(x) = 5x2 Multiply fx * x 8fx2 + -2g(x) = 5x2 Multiply g * x 8fx2 + -2gx = 5x2 Solving 8fx2 + -2gx = 5x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '2gx' to each side of the equation. 8fx2 + -2gx + 2gx = 2gx + 5x2 Combine like terms: -2gx + 2gx = 0 8fx2 + 0 = 2gx + 5x2 8fx2 = 2gx + 5x2 Divide each side by '8x2'. f = 0.25gx-1 + 0.625 Simplifying f = 0.25gx-1 + 0.625 Reorder the terms: f = 0.625 + 0.25gx-1
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