4t^2+8t+32=32

Solution for 4t^2+8t+32=32 equation:

Simplifying
4t2 + 8t + 32 = 32

Reorder the terms:
32 + 8t + 4t2 = 32

Add '-32' to each side of the equation.
32 + 8t + -32 + 4t2 = 32 + -32

Reorder the terms:
32 + -32 + 8t + 4t2 = 32 + -32

Combine like terms: 32 + -32 = 0
0 + 8t + 4t2 = 32 + -32
8t + 4t2 = 32 + -32

Combine like terms: 32 + -32 = 0
8t + 4t2 = 0

Solving
8t + 4t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4t'.
4t(2 + t) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(2 + t)' equal to zero and attempt to solve:

Simplifying
2 + t = 0

Solving
2 + t = 0

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

Add '-2' to each side of the equation.
2 + -2 + t = 0 + -2

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

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

Simplifying
t = -2
Solution
t = {0, -2}