t^2+13a+42=0

Solution for t^2+13a+42=0 equation:

Simplifying
t2 + 13a + 42 = 0

Reorder the terms:
42 + 13a + t2 = 0

Solving
42 + 13a + t2 = 0

Solving for variable 'a'.

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

Add '-42' to each side of the equation.
42 + 13a + -42 + t2 = 0 + -42

Reorder the terms:
42 + -42 + 13a + t2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 13a + t2 = 0 + -42
13a + t2 = 0 + -42

Combine like terms: 0 + -42 = -42
13a + t2 = -42

Add '-1t2' to each side of the equation.
13a + t2 + -1t2 = -42 + -1t2

Combine like terms: t2 + -1t2 = 0
13a + 0 = -42 + -1t2
13a = -42 + -1t2

Divide each side by '13'.
a = -3.230769231 + -0.07692307692t2

Simplifying
a = -3.230769231 + -0.07692307692t2