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Simplifying 4x2 + 45 = 20x Reorder the terms: 45 + 4x2 = 20x Solving 45 + 4x2 = 20x Solving for variable 'x'. Reorder the terms: 45 + -20x + 4x2 = 20x + -20x Combine like terms: 20x + -20x = 0 45 + -20x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 11.25 + -5x + x2 = 0 Move the constant term to the right: Add '-11.25' to each side of the equation. 11.25 + -5x + -11.25 + x2 = 0 + -11.25 Reorder the terms: 11.25 + -11.25 + -5x + x2 = 0 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + -5x + x2 = 0 + -11.25 -5x + x2 = 0 + -11.25 Combine like terms: 0 + -11.25 = -11.25 -5x + x2 = -11.25 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -11.25 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -11.25 + 6.25 Combine like terms: -11.25 + 6.25 = -5 6.25 + -5x + x2 = -5 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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