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Simplifying 15t2 + -6t + 4 = 0 Reorder the terms: 4 + -6t + 15t2 = 0 Solving 4 + -6t + 15t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.2666666667 + -0.4t + t2 = 0 Move the constant term to the right: Add '-0.2666666667' to each side of the equation. 0.2666666667 + -0.4t + -0.2666666667 + t2 = 0 + -0.2666666667 Reorder the terms: 0.2666666667 + -0.2666666667 + -0.4t + t2 = 0 + -0.2666666667 Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000 0.0000000000 + -0.4t + t2 = 0 + -0.2666666667 -0.4t + t2 = 0 + -0.2666666667 Combine like terms: 0 + -0.2666666667 = -0.2666666667 -0.4t + t2 = -0.2666666667 The t term is -0.4t. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4t + 0.04 + t2 = -0.2666666667 + 0.04 Reorder the terms: 0.04 + -0.4t + t2 = -0.2666666667 + 0.04 Combine like terms: -0.2666666667 + 0.04 = -0.2266666667 0.04 + -0.4t + t2 = -0.2266666667 Factor a perfect square on the left side: (t + -0.2)(t + -0.2) = -0.2266666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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