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Simplifying 4x2 + 24x + 157 = 0 Reorder the terms: 157 + 24x + 4x2 = 0 Solving 157 + 24x + 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'. 39.25 + 6x + x2 = 0 Move the constant term to the right: Add '-39.25' to each side of the equation. 39.25 + 6x + -39.25 + x2 = 0 + -39.25 Reorder the terms: 39.25 + -39.25 + 6x + x2 = 0 + -39.25 Combine like terms: 39.25 + -39.25 = 0.00 0.00 + 6x + x2 = 0 + -39.25 6x + x2 = 0 + -39.25 Combine like terms: 0 + -39.25 = -39.25 6x + x2 = -39.25 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -39.25 + 9 Reorder the terms: 9 + 6x + x2 = -39.25 + 9 Combine like terms: -39.25 + 9 = -30.25 9 + 6x + x2 = -30.25 Factor a perfect square on the left side: (x + 3)(x + 3) = -30.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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