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Simplifying -15t2 + 7t + 10 + -100 = 0 Reorder the terms: 10 + -100 + 7t + -15t2 = 0 Combine like terms: 10 + -100 = -90 -90 + 7t + -15t2 = 0 Solving -90 + 7t + -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'. 6 + -0.4666666667t + t2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -0.4666666667t + -6 + t2 = 0 + -6 Reorder the terms: 6 + -6 + -0.4666666667t + t2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -0.4666666667t + t2 = 0 + -6 -0.4666666667t + t2 = 0 + -6 Combine like terms: 0 + -6 = -6 -0.4666666667t + t2 = -6 The t term is -0.4666666667t. Take half its coefficient (-0.2333333334). Square it (0.05444444448) and add it to both sides. Add '0.05444444448' to each side of the equation. -0.4666666667t + 0.05444444448 + t2 = -6 + 0.05444444448 Reorder the terms: 0.05444444448 + -0.4666666667t + t2 = -6 + 0.05444444448 Combine like terms: -6 + 0.05444444448 = -5.94555555552 0.05444444448 + -0.4666666667t + t2 = -5.94555555552 Factor a perfect square on the left side: (t + -0.2333333334)(t + -0.2333333334) = -5.94555555552 Can't calculate square root of the right side. The solution to this equation could not be determined.
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