2(7t-24)=t(t)

Solution for 2(7t-24)=t(t) equation:

Simplifying
2(7t + -24) = t(t)

Reorder the terms:
2(-24 + 7t) = t(t)
(-24 * 2 + 7t * 2) = t(t)
(-48 + 14t) = t(t)

Multiply t * t
-48 + 14t = t2

Solving
-48 + 14t = t2

Solving for variable 't'.

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

Factor a trinomial.
(-8 + t)(6 + -1t) = 0

Subproblem 1
Set the factor '(-8 + t)' equal to zero and attempt to solve:

Simplifying
-8 + t = 0

Solving
-8 + t = 0

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

Add '8' to each side of the equation.
-8 + 8 + t = 0 + 8

Combine like terms: -8 + 8 = 0
0 + t = 0 + 8
t = 0 + 8

Combine like terms: 0 + 8 = 8
t = 8

Simplifying
t = 8
Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Solution
t = {8, 6}