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Simplifying 3x2 + 22x + 45 = 0 Reorder the terms: 45 + 22x + 3x2 = 0 Solving 45 + 22x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 15 + 7.333333333x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + 7.333333333x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + 7.333333333x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7.333333333x + x2 = 0 + -15 7.333333333x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 7.333333333x + x2 = -15 The x term is 7.333333333x. Take half its coefficient (3.666666667). Square it (13.44444445) and add it to both sides. Add '13.44444445' to each side of the equation. 7.333333333x + 13.44444445 + x2 = -15 + 13.44444445 Reorder the terms: 13.44444445 + 7.333333333x + x2 = -15 + 13.44444445 Combine like terms: -15 + 13.44444445 = -1.55555555 13.44444445 + 7.333333333x + x2 = -1.55555555 Factor a perfect square on the left side: (x + 3.666666667)(x + 3.666666667) = -1.55555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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