4t^2-15t+32=21

Solution for 4t^2-15t+32=21 equation:

Simplifying
4t2 + -15t + 32 = 21

Reorder the terms:
32 + -15t + 4t2 = 21

Solving
32 + -15t + 4t2 = 21

Solving for variable 't'.

Reorder the terms:
32 + -21 + -15t + 4t2 = 21 + -21

Combine like terms: 32 + -21 = 11
11 + -15t + 4t2 = 21 + -21

Combine like terms: 21 + -21 = 0
11 + -15t + 4t2 = 0

Factor a trinomial.
(1 + -1t)(11 + -4t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(11 + -4t)' equal to zero and attempt to solve:

Simplifying
11 + -4t = 0

Solving
11 + -4t = 0

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

Add '-11' to each side of the equation.
11 + -11 + -4t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4t = 0 + -11
-4t = 0 + -11

Combine like terms: 0 + -11 = -11
-4t = -11

Divide each side by '-4'.
t = 2.75

Simplifying
t = 2.75
Solution
t = {1, 2.75}