-98x^2-147x-54=0

Solution for -98x^2-147x-54=0 equation:

Simplifying
-98x2 + -147x + -54 = 0

Reorder the terms:
-54 + -147x + -98x2 = 0

Solving
-54 + -147x + -98x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(54 + 147x + 98x2) = 0

Factor a trinomial.
-1((6 + 7x)(9 + 14x)) = 0

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

Simplifying
6 + 7x = 0

Solving
6 + 7x = 0

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

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

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

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

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

Simplifying
x = -0.8571428571
Subproblem 2
Set the factor '(9 + 14x)' equal to zero and attempt to solve:

Simplifying
9 + 14x = 0

Solving
9 + 14x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 14x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 14x = 0 + -9
14x = 0 + -9

Combine like terms: 0 + -9 = -9
14x = -9

Divide each side by '14'.
x = -0.6428571429

Simplifying
x = -0.6428571429
Solution
x = {-0.8571428571, -0.6428571429}