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Simplifying 3t2 + -4t = -30 Reorder the terms: -4t + 3t2 = -30 Solving -4t + 3t2 = -30 Solving for variable 't'. Reorder the terms: 30 + -4t + 3t2 = -30 + 30 Combine like terms: -30 + 30 = 0 30 + -4t + 3t2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 10 + -1.333333333t + t2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -1.333333333t + -10 + t2 = 0 + -10 Reorder the terms: 10 + -10 + -1.333333333t + t2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1.333333333t + t2 = 0 + -10 -1.333333333t + t2 = 0 + -10 Combine like terms: 0 + -10 = -10 -1.333333333t + t2 = -10 The t term is -1.333333333t. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333t + 0.4444444442 + t2 = -10 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333t + t2 = -10 + 0.4444444442 Combine like terms: -10 + 0.4444444442 = -9.5555555558 0.4444444442 + -1.333333333t + t2 = -9.5555555558 Factor a perfect square on the left side: (t + -0.6666666665)(t + -0.6666666665) = -9.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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