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Simplifying -3(t + -5t) * 6t = 5t + -5 Combine like terms: t + -5t = -4t -3(-4t) * 6t = 5t + -5 Remove parenthesis around (-4t) -3 * -4t * 6t = 5t + -5 Reorder the terms for easier multiplication: -3 * -4 * 6t * t = 5t + -5 Multiply -3 * -4 12 * 6t * t = 5t + -5 Multiply 12 * 6 72t * t = 5t + -5 Multiply t * t 72t2 = 5t + -5 Reorder the terms: 72t2 = -5 + 5t Solving 72t2 = -5 + 5t Solving for variable 't'. Reorder the terms: 5 + -5t + 72t2 = -5 + 5t + 5 + -5t Reorder the terms: 5 + -5t + 72t2 = -5 + 5 + 5t + -5t Combine like terms: -5 + 5 = 0 5 + -5t + 72t2 = 0 + 5t + -5t 5 + -5t + 72t2 = 5t + -5t Combine like terms: 5t + -5t = 0 5 + -5t + 72t2 = 0 Begin completing the square. Divide all terms by 72 the coefficient of the squared term: Divide each side by '72'. 0.06944444444 + -0.06944444444t + t2 = 0 Move the constant term to the right: Add '-0.06944444444' to each side of the equation. 0.06944444444 + -0.06944444444t + -0.06944444444 + t2 = 0 + -0.06944444444 Reorder the terms: 0.06944444444 + -0.06944444444 + -0.06944444444t + t2 = 0 + -0.06944444444 Combine like terms: 0.06944444444 + -0.06944444444 = 0.00000000000 0.00000000000 + -0.06944444444t + t2 = 0 + -0.06944444444 -0.06944444444t + t2 = 0 + -0.06944444444 Combine like terms: 0 + -0.06944444444 = -0.06944444444 -0.06944444444t + t2 = -0.06944444444 The t term is -0.06944444444t. Take half its coefficient (-0.03472222222). Square it (0.001205632716) and add it to both sides. Add '0.001205632716' to each side of the equation. -0.06944444444t + 0.001205632716 + t2 = -0.06944444444 + 0.001205632716 Reorder the terms: 0.001205632716 + -0.06944444444t + t2 = -0.06944444444 + 0.001205632716 Combine like terms: -0.06944444444 + 0.001205632716 = -0.068238811724 0.001205632716 + -0.06944444444t + t2 = -0.068238811724 Factor a perfect square on the left side: (t + -0.03472222222)(t + -0.03472222222) = -0.068238811724 Can't calculate square root of the right side. The solution to this equation could not be determined.
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