42a^2-13a-42=

Solution for 42a^2-13a-42= equation:

Simplifying
42a2 + -13a + -42 = 0

Reorder the terms:
-42 + -13a + 42a2 = 0

Solving
-42 + -13a + 42a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-6 + -7a)(7 + -6a) = 0

Subproblem 1
Set the factor '(-6 + -7a)' equal to zero and attempt to solve:

Simplifying
-6 + -7a = 0

Solving
-6 + -7a = 0

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

Add '6' to each side of the equation.
-6 + 6 + -7a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7a = 0 + 6
-7a = 0 + 6

Combine like terms: 0 + 6 = 6
-7a = 6

Divide each side by '-7'.
a = -0.8571428571

Simplifying
a = -0.8571428571
Subproblem 2
Set the factor '(7 + -6a)' equal to zero and attempt to solve:

Simplifying
7 + -6a = 0

Solving
7 + -6a = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6a = 0 + -7
-6a = 0 + -7

Combine like terms: 0 + -7 = -7
-6a = -7

Divide each side by '-6'.
a = 1.166666667

Simplifying
a = 1.166666667
Solution
a = {-0.8571428571, 1.166666667}