(9t+7)(2t-7)=0

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Solution for (9t+7)(2t-7)=0 equation: 


Simplifying
(9t + 7)(2t + -7) = 0

Reorder the terms:
(7 + 9t)(2t + -7) = 0

Reorder the terms:
(7 + 9t)(-7 + 2t) = 0

Multiply (7 + 9t) * (-7 + 2t)
(7(-7 + 2t) + 9t * (-7 + 2t)) = 0
((-7 * 7 + 2t * 7) + 9t * (-7 + 2t)) = 0
((-49 + 14t) + 9t * (-7 + 2t)) = 0
(-49 + 14t + (-7 * 9t + 2t * 9t)) = 0
(-49 + 14t + (-63t + 18t2)) = 0

Combine like terms: 14t + -63t = -49t
(-49 + -49t + 18t2) = 0

Solving
-49 + -49t + 18t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-7 + -9t)(7 + -2t) = 0


Subproblem 1
Set the factor '(-7 + -9t)' equal to zero and attempt to solve:

Simplifying
-7 + -9t = 0

Solving
-7 + -9t = 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 + -9t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -9t = 0 + 7
-9t = 0 + 7

Combine like terms: 0 + 7 = 7
-9t = 7

Divide each side by '-9'.
t = -0.7777777778

Simplifying
t = -0.7777777778

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

Simplifying
7 + -2t = 0

Solving
7 + -2t = 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 + -2t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2t = 0 + -7
-2t = 0 + -7

Combine like terms: 0 + -7 = -7
-2t = -7

Divide each side by '-2'.
t = 3.5

Simplifying
t = 3.5
Solution
t = {-0.7777777778, 3.5}

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