(7t+3)(9t-1)=

Solution for (7t+3)(9t-1)= equation:

Simplifying
(7t + 3)(9t + -1) = 0

Reorder the terms:
(3 + 7t)(9t + -1) = 0

Reorder the terms:
(3 + 7t)(-1 + 9t) = 0

Multiply (3 + 7t) * (-1 + 9t)
(3(-1 + 9t) + 7t * (-1 + 9t)) = 0
((-1 * 3 + 9t * 3) + 7t * (-1 + 9t)) = 0
((-3 + 27t) + 7t * (-1 + 9t)) = 0
(-3 + 27t + (-1 * 7t + 9t * 7t)) = 0
(-3 + 27t + (-7t + 63t2)) = 0

Combine like terms: 27t + -7t = 20t
(-3 + 20t + 63t2) = 0

Solving
-3 + 20t + 63t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-3 + -7t)(1 + -9t) = 0

Subproblem 1
Set the factor '(-3 + -7t)' equal to zero and attempt to solve:

Simplifying
-3 + -7t = 0

Solving
-3 + -7t = 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 + -7t = 0 + 3

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

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

Divide each side by '-7'.
t = -0.4285714286

Simplifying
t = -0.4285714286
Subproblem 2
Set the factor '(1 + -9t)' equal to zero and attempt to solve:

Simplifying
1 + -9t = 0

Solving
1 + -9t = 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 + -9t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9t = 0 + -1
-9t = 0 + -1

Combine like terms: 0 + -1 = -1
-9t = -1

Divide each side by '-9'.
t = 0.1111111111

Simplifying
t = 0.1111111111
Solution
t = {-0.4285714286, 0.1111111111}