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Simplifying 89t2 + 55t + 34 = 0 Reorder the terms: 34 + 55t + 89t2 = 0 Solving 34 + 55t + 89t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 89 the coefficient of the squared term: Divide each side by '89'. 0.3820224719 + 0.6179775281t + t2 = 0 Move the constant term to the right: Add '-0.3820224719' to each side of the equation. 0.3820224719 + 0.6179775281t + -0.3820224719 + t2 = 0 + -0.3820224719 Reorder the terms: 0.3820224719 + -0.3820224719 + 0.6179775281t + t2 = 0 + -0.3820224719 Combine like terms: 0.3820224719 + -0.3820224719 = 0.0000000000 0.0000000000 + 0.6179775281t + t2 = 0 + -0.3820224719 0.6179775281t + t2 = 0 + -0.3820224719 Combine like terms: 0 + -0.3820224719 = -0.3820224719 0.6179775281t + t2 = -0.3820224719 The t term is 0.6179775281t. Take half its coefficient (0.3089887641). Square it (0.09547405634) and add it to both sides. Add '0.09547405634' to each side of the equation. 0.6179775281t + 0.09547405634 + t2 = -0.3820224719 + 0.09547405634 Reorder the terms: 0.09547405634 + 0.6179775281t + t2 = -0.3820224719 + 0.09547405634 Combine like terms: -0.3820224719 + 0.09547405634 = -0.28654841556 0.09547405634 + 0.6179775281t + t2 = -0.28654841556 Factor a perfect square on the left side: (t + 0.3089887641)(t + 0.3089887641) = -0.28654841556 Can't calculate square root of the right side. The solution to this equation could not be determined.
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