(t+7)(7t-8)=

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Solution for (t+7)(7t-8)= equation: 


Simplifying
(t + 7)(7t + -8) = 0

Reorder the terms:
(7 + t)(7t + -8) = 0

Reorder the terms:
(7 + t)(-8 + 7t) = 0

Multiply (7 + t) * (-8 + 7t)
(7(-8 + 7t) + t(-8 + 7t)) = 0
((-8 * 7 + 7t * 7) + t(-8 + 7t)) = 0
((-56 + 49t) + t(-8 + 7t)) = 0
(-56 + 49t + (-8 * t + 7t * t)) = 0
(-56 + 49t + (-8t + 7t2)) = 0

Combine like terms: 49t + -8t = 41t
(-56 + 41t + 7t2) = 0

Solving
-56 + 41t + 7t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-7 + -1t)(8 + -7t) = 0


Subproblem 1
Set the factor '(-7 + -1t)' equal to zero and attempt to solve:

Simplifying
-7 + -1t = 0

Solving
-7 + -1t = 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 + -1t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1t = 0 + 7
-1t = 0 + 7

Combine like terms: 0 + 7 = 7
-1t = 7

Divide each side by '-1'.
t = -7

Simplifying
t = -7

Subproblem 2
Set the factor '(8 + -7t)' equal to zero and attempt to solve:

Simplifying
8 + -7t = 0

Solving
8 + -7t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -7t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7t = 0 + -8
-7t = 0 + -8

Combine like terms: 0 + -8 = -8
-7t = -8

Divide each side by '-7'.
t = 1.142857143

Simplifying
t = 1.142857143
Solution
t = {-7, 1.142857143}

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