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Simplifying (10t2 + -4t + 12) + (14t + -3) = 0 Reorder the terms: (12 + -4t + 10t2) + (14t + -3) = 0 Remove parenthesis around (12 + -4t + 10t2) 12 + -4t + 10t2 + (14t + -3) = 0 Reorder the terms: 12 + -4t + 10t2 + (-3 + 14t) = 0 Remove parenthesis around (-3 + 14t) 12 + -4t + 10t2 + -3 + 14t = 0 Reorder the terms: 12 + -3 + -4t + 14t + 10t2 = 0 Combine like terms: 12 + -3 = 9 9 + -4t + 14t + 10t2 = 0 Combine like terms: -4t + 14t = 10t 9 + 10t + 10t2 = 0 Solving 9 + 10t + 10t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.9 + t + t2 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + t + -0.9 + t2 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + t + t2 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + t + t2 = 0 + -0.9 t + t2 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 t + t2 = -0.9 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + t2 = -0.9 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + t2 = -0.9 + 0.25 Combine like terms: -0.9 + 0.25 = -0.65 1.25 + t2 = -0.65 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = -0.65 Can't calculate square root of the right side. The solution to this equation could not be determined.
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