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Simplifying (x + -3)(7 + -1x) = 5 Reorder the terms: (-3 + x)(7 + -1x) = 5 Multiply (-3 + x) * (7 + -1x) (-3(7 + -1x) + x(7 + -1x)) = 5 ((7 * -3 + -1x * -3) + x(7 + -1x)) = 5 ((-21 + 3x) + x(7 + -1x)) = 5 (-21 + 3x + (7 * x + -1x * x)) = 5 (-21 + 3x + (7x + -1x2)) = 5 Combine like terms: 3x + 7x = 10x (-21 + 10x + -1x2) = 5 Solving -21 + 10x + -1x2 = 5 Solving for variable 'x'. Reorder the terms: -21 + -5 + 10x + -1x2 = 5 + -5 Combine like terms: -21 + -5 = -26 -26 + 10x + -1x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -26 + 10x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 26 + -10x + x2 = 0 Move the constant term to the right: Add '-26' to each side of the equation. 26 + -10x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + -10x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -10x + x2 = 0 + -26 -10x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 -10x + x2 = -26 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -26 + 25 Reorder the terms: 25 + -10x + x2 = -26 + 25 Combine like terms: -26 + 25 = -1 25 + -10x + x2 = -1 Factor a perfect square on the left side: (x + -5)(x + -5) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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