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Simplifying 0 = x2 + -12x + 40 Reorder the terms: 0 = 40 + -12x + x2 Solving 0 = 40 + -12x + x2 Solving for variable 'x'. Combine like terms: 0 + -40 = -40 -40 + 12x + -1x2 = 40 + -12x + x2 + -40 + 12x + -1x2 Reorder the terms: -40 + 12x + -1x2 = 40 + -40 + -12x + 12x + x2 + -1x2 Combine like terms: 40 + -40 = 0 -40 + 12x + -1x2 = 0 + -12x + 12x + x2 + -1x2 -40 + 12x + -1x2 = -12x + 12x + x2 + -1x2 Combine like terms: -12x + 12x = 0 -40 + 12x + -1x2 = 0 + x2 + -1x2 -40 + 12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -40 + 12x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 40 + -12x + x2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -12x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + -12x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -12x + x2 = 0 + -40 -12x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 -12x + x2 = -40 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -40 + 36 Reorder the terms: 36 + -12x + x2 = -40 + 36 Combine like terms: -40 + 36 = -4 36 + -12x + x2 = -4 Factor a perfect square on the left side: (x + -6)(x + -6) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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