35=t^2-14t+48

Solution for 35=t^2-14t+48 equation:

Simplifying
35 = t2 + -14t + 48

Reorder the terms:
35 = 48 + -14t + t2

Solving
35 = 48 + -14t + t2

Solving for variable 't'.

Combine like terms: 35 + -48 = -13
-13 + 14t + -1t2 = 48 + -14t + t2 + -48 + 14t + -1t2

Reorder the terms:
-13 + 14t + -1t2 = 48 + -48 + -14t + 14t + t2 + -1t2

Combine like terms: 48 + -48 = 0
-13 + 14t + -1t2 = 0 + -14t + 14t + t2 + -1t2
-13 + 14t + -1t2 = -14t + 14t + t2 + -1t2

Combine like terms: -14t + 14t = 0
-13 + 14t + -1t2 = 0 + t2 + -1t2
-13 + 14t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-13 + 14t + -1t2 = 0

Factor a trinomial.
(-13 + t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-13 + t)' equal to zero and attempt to solve:

Simplifying
-13 + t = 0

Solving
-13 + t = 0

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

Add '13' to each side of the equation.
-13 + 13 + t = 0 + 13

Combine like terms: -13 + 13 = 0
0 + t = 0 + 13
t = 0 + 13

Combine like terms: 0 + 13 = 13
t = 13

Simplifying
t = 13
Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

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

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

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

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

Simplifying
t = 1
Solution
t = {13, 1}