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Simplifying 4x2 + 21x + 136 = 0 Reorder the terms: 136 + 21x + 4x2 = 0 Solving 136 + 21x + 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'. 34 + 5.25x + x2 = 0 Move the constant term to the right: Add '-34' to each side of the equation. 34 + 5.25x + -34 + x2 = 0 + -34 Reorder the terms: 34 + -34 + 5.25x + x2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 5.25x + x2 = 0 + -34 5.25x + x2 = 0 + -34 Combine like terms: 0 + -34 = -34 5.25x + x2 = -34 The x term is 5.25x. Take half its coefficient (2.625). Square it (6.890625) and add it to both sides. Add '6.890625' to each side of the equation. 5.25x + 6.890625 + x2 = -34 + 6.890625 Reorder the terms: 6.890625 + 5.25x + x2 = -34 + 6.890625 Combine like terms: -34 + 6.890625 = -27.109375 6.890625 + 5.25x + x2 = -27.109375 Factor a perfect square on the left side: (x + 2.625)(x + 2.625) = -27.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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