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Simplifying 3x(7 + -1x) = 44 (7 * 3x + -1x * 3x) = 44 (21x + -3x2) = 44 Solving 21x + -3x2 = 44 Solving for variable 'x'. Reorder the terms: -44 + 21x + -3x2 = 44 + -44 Combine like terms: 44 + -44 = 0 -44 + 21x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 14.66666667 + -7x + x2 = 0 Move the constant term to the right: Add '-14.66666667' to each side of the equation. 14.66666667 + -7x + -14.66666667 + x2 = 0 + -14.66666667 Reorder the terms: 14.66666667 + -14.66666667 + -7x + x2 = 0 + -14.66666667 Combine like terms: 14.66666667 + -14.66666667 = 0.00000000 0.00000000 + -7x + x2 = 0 + -14.66666667 -7x + x2 = 0 + -14.66666667 Combine like terms: 0 + -14.66666667 = -14.66666667 -7x + x2 = -14.66666667 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -14.66666667 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -14.66666667 + 12.25 Combine like terms: -14.66666667 + 12.25 = -2.41666667 12.25 + -7x + x2 = -2.41666667 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -2.41666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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