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Simplifying 9t2 + -12t = -4 Reorder the terms: -12t + 9t2 = -4 Solving -12t + 9t2 = -4 Solving for variable 't'. Reorder the terms: 4 + -12t + 9t2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -12t + 9t2 = 0 Factor a trinomial. (2 + -3t)(2 + -3t) = 0Subproblem 1
Set the factor '(2 + -3t)' equal to zero and attempt to solve: Simplifying 2 + -3t = 0 Solving 2 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = 0 + -2 -3t = 0 + -2 Combine like terms: 0 + -2 = -2 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667Subproblem 2
Set the factor '(2 + -3t)' equal to zero and attempt to solve: Simplifying 2 + -3t = 0 Solving 2 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = 0 + -2 -3t = 0 + -2 Combine like terms: 0 + -2 = -2 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667Solution
t = {0.6666666667, 0.6666666667}
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