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Simplifying (3t + -4)(3t + -4) = 0 Reorder the terms: (-4 + 3t)(3t + -4) = 0 Reorder the terms: (-4 + 3t)(-4 + 3t) = 0 Multiply (-4 + 3t) * (-4 + 3t) (-4(-4 + 3t) + 3t * (-4 + 3t)) = 0 ((-4 * -4 + 3t * -4) + 3t * (-4 + 3t)) = 0 ((16 + -12t) + 3t * (-4 + 3t)) = 0 (16 + -12t + (-4 * 3t + 3t * 3t)) = 0 (16 + -12t + (-12t + 9t2)) = 0 Combine like terms: -12t + -12t = -24t (16 + -24t + 9t2) = 0 Solving 16 + -24t + 9t2 = 0 Solving for variable 't'. Factor a trinomial. (4 + -3t)(4 + -3t) = 0Subproblem 1
Set the factor '(4 + -3t)' equal to zero and attempt to solve: Simplifying 4 + -3t = 0 Solving 4 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = 0 + -4 -3t = 0 + -4 Combine like terms: 0 + -4 = -4 -3t = -4 Divide each side by '-3'. t = 1.333333333 Simplifying t = 1.333333333Subproblem 2
Set the factor '(4 + -3t)' equal to zero and attempt to solve: Simplifying 4 + -3t = 0 Solving 4 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = 0 + -4 -3t = 0 + -4 Combine like terms: 0 + -4 = -4 -3t = -4 Divide each side by '-3'. t = 1.333333333 Simplifying t = 1.333333333Solution
t = {1.333333333, 1.333333333}
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