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Simplifying 4x2 + -21x + 40 = 0 Reorder the terms: 40 + -21x + 4x2 = 0 Solving 40 + -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'. 10 + -5.25x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -5.25x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -5.25x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5.25x + x2 = 0 + -10 -5.25x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -5.25x + x2 = -10 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 = -10 + 6.890625 Reorder the terms: 6.890625 + -5.25x + x2 = -10 + 6.890625 Combine like terms: -10 + 6.890625 = -3.109375 6.890625 + -5.25x + x2 = -3.109375 Factor a perfect square on the left side: (x + -2.625)(x + -2.625) = -3.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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