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Simplifying 12t2 + -55t + 90 = 0 Reorder the terms: 90 + -55t + 12t2 = 0 Solving 90 + -55t + 12t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 7.5 + -4.583333333t + t2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + -4.583333333t + -7.5 + t2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + -4.583333333t + t2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -4.583333333t + t2 = 0 + -7.5 -4.583333333t + t2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -4.583333333t + t2 = -7.5 The t term is -4.583333333t. Take half its coefficient (-2.291666667). Square it (5.251736113) and add it to both sides. Add '5.251736113' to each side of the equation. -4.583333333t + 5.251736113 + t2 = -7.5 + 5.251736113 Reorder the terms: 5.251736113 + -4.583333333t + t2 = -7.5 + 5.251736113 Combine like terms: -7.5 + 5.251736113 = -2.248263887 5.251736113 + -4.583333333t + t2 = -2.248263887 Factor a perfect square on the left side: (t + -2.291666667)(t + -2.291666667) = -2.248263887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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