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Simplifying 322 = x(5 + -2x) 322 = (5 * x + -2x * x) 322 = (5x + -2x2) Solving 322 = 5x + -2x2 Solving for variable 'x'. Reorder the terms: 322 + -5x + 2x2 = 5x + -5x + -2x2 + 2x2 Combine like terms: 5x + -5x = 0 322 + -5x + 2x2 = 0 + -2x2 + 2x2 322 + -5x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 322 + -5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 161 + -2.5x + x2 = 0 Move the constant term to the right: Add '-161' to each side of the equation. 161 + -2.5x + -161 + x2 = 0 + -161 Reorder the terms: 161 + -161 + -2.5x + x2 = 0 + -161 Combine like terms: 161 + -161 = 0 0 + -2.5x + x2 = 0 + -161 -2.5x + x2 = 0 + -161 Combine like terms: 0 + -161 = -161 -2.5x + x2 = -161 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -161 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -161 + 1.5625 Combine like terms: -161 + 1.5625 = -159.4375 1.5625 + -2.5x + x2 = -159.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -159.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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