(8t-3)(8t-3)=0

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Solution for (8t-3)(8t-3)=0 equation:


Simplifying
(8t + -3)(8t + -3) = 0

Reorder the terms:
(-3 + 8t)(8t + -3) = 0

Reorder the terms:
(-3 + 8t)(-3 + 8t) = 0

Multiply (-3 + 8t) * (-3 + 8t)
(-3(-3 + 8t) + 8t * (-3 + 8t)) = 0
((-3 * -3 + 8t * -3) + 8t * (-3 + 8t)) = 0
((9 + -24t) + 8t * (-3 + 8t)) = 0
(9 + -24t + (-3 * 8t + 8t * 8t)) = 0
(9 + -24t + (-24t + 64t2)) = 0

Combine like terms: -24t + -24t = -48t
(9 + -48t + 64t2) = 0

Solving
9 + -48t + 64t2 = 0

Solving for variable 't'.

Factor a trinomial.
(3 + -8t)(3 + -8t) = 0

Subproblem 1

Set the factor '(3 + -8t)' equal to zero and attempt to solve: Simplifying 3 + -8t = 0 Solving 3 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8t = 0 + -3 -8t = 0 + -3 Combine like terms: 0 + -3 = -3 -8t = -3 Divide each side by '-8'. t = 0.375 Simplifying t = 0.375

Subproblem 2

Set the factor '(3 + -8t)' equal to zero and attempt to solve: Simplifying 3 + -8t = 0 Solving 3 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8t = 0 + -3 -8t = 0 + -3 Combine like terms: 0 + -3 = -3 -8t = -3 Divide each side by '-8'. t = 0.375 Simplifying t = 0.375

Solution

t = {0.375, 0.375}

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