0=t^2-15t+56

Solution for 0=t^2-15t+56 equation:

Simplifying
0 = t2 + -15t + 56

Reorder the terms:
0 = 56 + -15t + t2

Solving
0 = 56 + -15t + t2

Solving for variable 't'.

Combine like terms: 0 + -56 = -56
-56 + 15t + -1t2 = 56 + -15t + t2 + -56 + 15t + -1t2

Reorder the terms:
-56 + 15t + -1t2 = 56 + -56 + -15t + 15t + t2 + -1t2

Combine like terms: 56 + -56 = 0
-56 + 15t + -1t2 = 0 + -15t + 15t + t2 + -1t2
-56 + 15t + -1t2 = -15t + 15t + t2 + -1t2

Combine like terms: -15t + 15t = 0
-56 + 15t + -1t2 = 0 + t2 + -1t2
-56 + 15t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-56 + 15t + -1t2 = 0

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

Subproblem 1
Set the factor '(-8 + t)' equal to zero and attempt to solve:

Simplifying
-8 + t = 0

Solving
-8 + t = 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 + t = 0 + 8

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

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

Simplifying
t = 8
Subproblem 2
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
Solution
t = {8, 7}