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Simplifying 3x2 + 24x = -49 Reorder the terms: 24x + 3x2 = -49 Solving 24x + 3x2 = -49 Solving for variable 'x'. Reorder the terms: 49 + 24x + 3x2 = -49 + 49 Combine like terms: -49 + 49 = 0 49 + 24x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 16.33333333 + 8x + x2 = 0 Move the constant term to the right: Add '-16.33333333' to each side of the equation. 16.33333333 + 8x + -16.33333333 + x2 = 0 + -16.33333333 Reorder the terms: 16.33333333 + -16.33333333 + 8x + x2 = 0 + -16.33333333 Combine like terms: 16.33333333 + -16.33333333 = 0.00000000 0.00000000 + 8x + x2 = 0 + -16.33333333 8x + x2 = 0 + -16.33333333 Combine like terms: 0 + -16.33333333 = -16.33333333 8x + x2 = -16.33333333 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -16.33333333 + 16 Reorder the terms: 16 + 8x + x2 = -16.33333333 + 16 Combine like terms: -16.33333333 + 16 = -0.33333333 16 + 8x + x2 = -0.33333333 Factor a perfect square on the left side: (x + 4)(x + 4) = -0.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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