t^2(t+7)(t+7)=

Solution for t^2(t+7)(t+7)= equation:

Simplifying
t2(t + 7)(t + 7) = 0

Reorder the terms:
t2(7 + t)(t + 7) = 0

Reorder the terms:
t2(7 + t)(7 + t) = 0

Multiply (7 + t) * (7 + t)
t2(7(7 + t) + t(7 + t)) = 0
t2((7 * 7 + t * 7) + t(7 + t)) = 0
t2((49 + 7t) + t(7 + t)) = 0
t2(49 + 7t + (7 * t + t * t)) = 0
t2(49 + 7t + (7t + t2)) = 0

Combine like terms: 7t + 7t = 14t
t2(49 + 14t + t2) = 0
(49 * t2 + 14t * t2 + t2 * t2) = 0
(49t2 + 14t3 + t4) = 0

Solving
49t2 + 14t3 + t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(49 + 14t + t2) = 0

Factor a trinomial.
t2((7 + t)(7 + t)) = 0

Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
t = {0}
Subproblem 2
Set the factor '(7 + t)' equal to zero and attempt to solve:

Simplifying
7 + t = 0

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

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

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

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

Simplifying
7 + t = 0

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

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

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

Simplifying
t = -7
Solution
t = {0, -7, -7}