t(6t-7)=3

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Solution for t(6t-7)=3 equation:


Simplifying
t(6t + -7) = 3

Reorder the terms:
t(-7 + 6t) = 3
(-7 * t + 6t * t) = 3
(-7t + 6t2) = 3

Solving
-7t + 6t2 = 3

Solving for variable 't'.

Reorder the terms:
-3 + -7t + 6t2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -7t + 6t2 = 0

Factor a trinomial.
(-1 + -3t)(3 + -2t) = 0

Subproblem 1

Set the factor '(-1 + -3t)' equal to zero and attempt to solve: Simplifying -1 + -3t = 0 Solving -1 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3t = 0 + 1 -3t = 0 + 1 Combine like terms: 0 + 1 = 1 -3t = 1 Divide each side by '-3'. t = -0.3333333333 Simplifying t = -0.3333333333

Subproblem 2

Set the factor '(3 + -2t)' equal to zero and attempt to solve: Simplifying 3 + -2t = 0 Solving 3 + -2t = 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 + -2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 0 + -3 -2t = 0 + -3 Combine like terms: 0 + -3 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5

Solution

t = {-0.3333333333, 1.5}

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