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Simplifying 5(t) = 3t2 + 9 Reorder the terms: 5t = 9 + 3t2 Solving 5t = 9 + 3t2 Solving for variable 't'. Reorder the terms: -9 + 5t + -3t2 = 9 + 3t2 + -9 + -3t2 Reorder the terms: -9 + 5t + -3t2 = 9 + -9 + 3t2 + -3t2 Combine like terms: 9 + -9 = 0 -9 + 5t + -3t2 = 0 + 3t2 + -3t2 -9 + 5t + -3t2 = 3t2 + -3t2 Combine like terms: 3t2 + -3t2 = 0 -9 + 5t + -3t2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 3 + -1.666666667t + t2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.666666667t + -3 + t2 = 0 + -3 Reorder the terms: 3 + -3 + -1.666666667t + t2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.666666667t + t2 = 0 + -3 -1.666666667t + t2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.666666667t + t2 = -3 The t term is -1.666666667t. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667t + 0.6944444447 + t2 = -3 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667t + t2 = -3 + 0.6944444447 Combine like terms: -3 + 0.6944444447 = -2.3055555553 0.6944444447 + -1.666666667t + t2 = -2.3055555553 Factor a perfect square on the left side: (t + -0.8333333335)(t + -0.8333333335) = -2.3055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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