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Simplifying 4x2 + 5x + 3x + 5x + 3 + 15 = 0 Reorder the terms: 3 + 15 + 5x + 3x + 5x + 4x2 = 0 Combine like terms: 3 + 15 = 18 18 + 5x + 3x + 5x + 4x2 = 0 Combine like terms: 5x + 3x = 8x 18 + 8x + 5x + 4x2 = 0 Combine like terms: 8x + 5x = 13x 18 + 13x + 4x2 = 0 Solving 18 + 13x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 4.5 + 3.25x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + 3.25x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + 3.25x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 3.25x + x2 = 0 + -4.5 3.25x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 3.25x + x2 = -4.5 The x term is 3.25x. Take half its coefficient (1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. 3.25x + 2.640625 + x2 = -4.5 + 2.640625 Reorder the terms: 2.640625 + 3.25x + x2 = -4.5 + 2.640625 Combine like terms: -4.5 + 2.640625 = -1.859375 2.640625 + 3.25x + x2 = -1.859375 Factor a perfect square on the left side: (x + 1.625)(x + 1.625) = -1.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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