t^2-7t^2=18t

Solution for t^2-7t^2=18t equation:

Simplifying
t2 + -7t2 = 18t

Combine like terms: t2 + -7t2 = -6t2
-6t2 = 18t

Solving
-6t2 = 18t

Solving for variable 't'.

Reorder the terms:
-18t + -6t2 = 18t + -18t

Combine like terms: 18t + -18t = 0
-18t + -6t2 = 0

Factor out the Greatest Common Factor (GCF), '-6t'.
-6t(3 + t) = 0

Ignore the factor -6.
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 '(3 + t)' equal to zero and attempt to solve:

Simplifying
3 + t = 0

Solving
3 + t = 0

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

Add '-3' to each side of the equation.
3 + -3 + t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + t = 0 + -3
t = 0 + -3

Combine like terms: 0 + -3 = -3
t = -3

Simplifying
t = -3
Solution
t = {0, -3}