(7t-t-7)(3t+7t-1)=

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Solution for (7t-t-7)(3t+7t-1)= equation:


Simplifying
(7t + -1t + -7)(3t + 7t + -1) = 0

Reorder the terms:
(-7 + 7t + -1t)(3t + 7t + -1) = 0

Combine like terms: 7t + -1t = 6t
(-7 + 6t)(3t + 7t + -1) = 0

Reorder the terms:
(-7 + 6t)(-1 + 3t + 7t) = 0

Combine like terms: 3t + 7t = 10t
(-7 + 6t)(-1 + 10t) = 0

Multiply (-7 + 6t) * (-1 + 10t)
(-7(-1 + 10t) + 6t * (-1 + 10t)) = 0
((-1 * -7 + 10t * -7) + 6t * (-1 + 10t)) = 0
((7 + -70t) + 6t * (-1 + 10t)) = 0
(7 + -70t + (-1 * 6t + 10t * 6t)) = 0
(7 + -70t + (-6t + 60t2)) = 0

Combine like terms: -70t + -6t = -76t
(7 + -76t + 60t2) = 0

Solving
7 + -76t + 60t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -10t)(7 + -6t) = 0

Subproblem 1

Set the factor '(1 + -10t)' equal to zero and attempt to solve: Simplifying 1 + -10t = 0 Solving 1 + -10t = 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 + -10t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10t = 0 + -1 -10t = 0 + -1 Combine like terms: 0 + -1 = -1 -10t = -1 Divide each side by '-10'. t = 0.1 Simplifying t = 0.1

Subproblem 2

Set the factor '(7 + -6t)' equal to zero and attempt to solve: Simplifying 7 + -6t = 0 Solving 7 + -6t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6t = 0 + -7 -6t = 0 + -7 Combine like terms: 0 + -7 = -7 -6t = -7 Divide each side by '-6'. t = 1.166666667 Simplifying t = 1.166666667

Solution

t = {0.1, 1.166666667}

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