49x^2+9x-468=0

Solution for 49x^2+9x-468=0 equation:

Simplifying
49x2 + 9x + -468 = 0

Reorder the terms:
-468 + 9x + 49x2 = 0

Solving
-468 + 9x + 49x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-156 + -49x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-156 + -49x)' equal to zero and attempt to solve:

Simplifying
-156 + -49x = 0

Solving
-156 + -49x = 0

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

Add '156' to each side of the equation.
-156 + 156 + -49x = 0 + 156

Combine like terms: -156 + 156 = 0
0 + -49x = 0 + 156
-49x = 0 + 156

Combine like terms: 0 + 156 = 156
-49x = 156

Divide each side by '-49'.
x = -3.183673469

Simplifying
x = -3.183673469
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-3.183673469, 3}