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Simplifying F(x + h) = 4x2 + 5x + 5 Reorder the terms: F(h + x) = 4x2 + 5x + 5 (h * F + x * F) = 4x2 + 5x + 5 (hF + xF) = 4x2 + 5x + 5 Reorder the terms: hF + xF = 5 + 5x + 4x2 Solving hF + xF = 5 + 5x + 4x2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1xF' to each side of the equation. hF + xF + -1xF = 5 + 5x + -1xF + 4x2 Combine like terms: xF + -1xF = 0 hF + 0 = 5 + 5x + -1xF + 4x2 hF = 5 + 5x + -1xF + 4x2 Divide each side by 'F'. h = 5F-1 + 5xF-1 + -1x + 4x2F-1 Simplifying h = 5F-1 + 5xF-1 + -1x + 4x2F-1 Reorder the terms: h = 5F-1 + -1x + 5xF-1 + 4x2F-1
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