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Simplifying 10t + 0.15t2 = -900 Solving 10t + 0.15t2 = -900 Solving for variable 't'. Reorder the terms: 900 + 10t + 0.15t2 = -900 + 900 Combine like terms: -900 + 900 = 0 900 + 10t + 0.15t2 = 0 Begin completing the square. Divide all terms by 0.15 the coefficient of the squared term: Divide each side by '0.15'. 6000 + 66.66666667t + t2 = 0 Move the constant term to the right: Add '-6000' to each side of the equation. 6000 + 66.66666667t + -6000 + t2 = 0 + -6000 Reorder the terms: 6000 + -6000 + 66.66666667t + t2 = 0 + -6000 Combine like terms: 6000 + -6000 = 0 0 + 66.66666667t + t2 = 0 + -6000 66.66666667t + t2 = 0 + -6000 Combine like terms: 0 + -6000 = -6000 66.66666667t + t2 = -6000 The t term is 66.66666667t. Take half its coefficient (33.33333334). Square it (1111.111112) and add it to both sides. Add '1111.111112' to each side of the equation. 66.66666667t + 1111.111112 + t2 = -6000 + 1111.111112 Reorder the terms: 1111.111112 + 66.66666667t + t2 = -6000 + 1111.111112 Combine like terms: -6000 + 1111.111112 = -4888.888888 1111.111112 + 66.66666667t + t2 = -4888.888888 Factor a perfect square on the left side: (t + 33.33333334)(t + 33.33333334) = -4888.888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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