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Simplifying 4.9t2 + -1(2.3t) + 5 = 0 Remove parenthesis around (2.3t) 4.9t2 + -1 * 2.3t + 5 = 0 Multiply -1 * 2.3 4.9t2 + -2.3t + 5 = 0 Reorder the terms: 5 + -2.3t + 4.9t2 = 0 Solving 5 + -2.3t + 4.9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 1.020408163 + -0.4693877551t + t2 = 0 Move the constant term to the right: Add '-1.020408163' to each side of the equation. 1.020408163 + -0.4693877551t + -1.020408163 + t2 = 0 + -1.020408163 Reorder the terms: 1.020408163 + -1.020408163 + -0.4693877551t + t2 = 0 + -1.020408163 Combine like terms: 1.020408163 + -1.020408163 = 0.000000000 0.000000000 + -0.4693877551t + t2 = 0 + -1.020408163 -0.4693877551t + t2 = 0 + -1.020408163 Combine like terms: 0 + -1.020408163 = -1.020408163 -0.4693877551t + t2 = -1.020408163 The t term is -0.4693877551t. Take half its coefficient (-0.2346938776). Square it (0.05508121618) and add it to both sides. Add '0.05508121618' to each side of the equation. -0.4693877551t + 0.05508121618 + t2 = -1.020408163 + 0.05508121618 Reorder the terms: 0.05508121618 + -0.4693877551t + t2 = -1.020408163 + 0.05508121618 Combine like terms: -1.020408163 + 0.05508121618 = -0.96532694682 0.05508121618 + -0.4693877551t + t2 = -0.96532694682 Factor a perfect square on the left side: (t + -0.2346938776)(t + -0.2346938776) = -0.96532694682 Can't calculate square root of the right side. The solution to this equation could not be determined.
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