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Simplifying 0 = 4x2 + -405x + 40380 Reorder the terms: 0 = 40380 + -405x + 4x2 Solving 0 = 40380 + -405x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -40380 = -40380 -40380 + 405x + -4x2 = 40380 + -405x + 4x2 + -40380 + 405x + -4x2 Reorder the terms: -40380 + 405x + -4x2 = 40380 + -40380 + -405x + 405x + 4x2 + -4x2 Combine like terms: 40380 + -40380 = 0 -40380 + 405x + -4x2 = 0 + -405x + 405x + 4x2 + -4x2 -40380 + 405x + -4x2 = -405x + 405x + 4x2 + -4x2 Combine like terms: -405x + 405x = 0 -40380 + 405x + -4x2 = 0 + 4x2 + -4x2 -40380 + 405x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -40380 + 405x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 10095 + -101.25x + x2 = 0 Move the constant term to the right: Add '-10095' to each side of the equation. 10095 + -101.25x + -10095 + x2 = 0 + -10095 Reorder the terms: 10095 + -10095 + -101.25x + x2 = 0 + -10095 Combine like terms: 10095 + -10095 = 0 0 + -101.25x + x2 = 0 + -10095 -101.25x + x2 = 0 + -10095 Combine like terms: 0 + -10095 = -10095 -101.25x + x2 = -10095 The x term is -101.25x. Take half its coefficient (-50.625). Square it (2562.890625) and add it to both sides. Add '2562.890625' to each side of the equation. -101.25x + 2562.890625 + x2 = -10095 + 2562.890625 Reorder the terms: 2562.890625 + -101.25x + x2 = -10095 + 2562.890625 Combine like terms: -10095 + 2562.890625 = -7532.109375 2562.890625 + -101.25x + x2 = -7532.109375 Factor a perfect square on the left side: (x + -50.625)(x + -50.625) = -7532.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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