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Simplifying 4x2 + 21x + 30 = 0 Reorder the terms: 30 + 21x + 4x2 = 0 Solving 30 + 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'. 7.5 + 5.25x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 5.25x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 5.25x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 5.25x + x2 = 0 + -7.5 5.25x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 5.25x + x2 = -7.5 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 = -7.5 + 6.890625 Reorder the terms: 6.890625 + 5.25x + x2 = -7.5 + 6.890625 Combine like terms: -7.5 + 6.890625 = -0.609375 6.890625 + 5.25x + x2 = -0.609375 Factor a perfect square on the left side: (x + 2.625)(x + 2.625) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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