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Simplifying 3x2 + 24x + 53 = -5 Reorder the terms: 53 + 24x + 3x2 = -5 Solving 53 + 24x + 3x2 = -5 Solving for variable 'x'. Reorder the terms: 53 + 5 + 24x + 3x2 = -5 + 5 Combine like terms: 53 + 5 = 58 58 + 24x + 3x2 = -5 + 5 Combine like terms: -5 + 5 = 0 58 + 24x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 19.33333333 + 8x + x2 = 0 Move the constant term to the right: Add '-19.33333333' to each side of the equation. 19.33333333 + 8x + -19.33333333 + x2 = 0 + -19.33333333 Reorder the terms: 19.33333333 + -19.33333333 + 8x + x2 = 0 + -19.33333333 Combine like terms: 19.33333333 + -19.33333333 = 0.00000000 0.00000000 + 8x + x2 = 0 + -19.33333333 8x + x2 = 0 + -19.33333333 Combine like terms: 0 + -19.33333333 = -19.33333333 8x + x2 = -19.33333333 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 = -19.33333333 + 16 Reorder the terms: 16 + 8x + x2 = -19.33333333 + 16 Combine like terms: -19.33333333 + 16 = -3.33333333 16 + 8x + x2 = -3.33333333 Factor a perfect square on the left side: (x + 4)(x + 4) = -3.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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