-4x^2-136x-67=0

Solution for -4x^2-136x-67=0 equation:

Simplifying
-4x2 + -136x + -67 = 0

Reorder the terms:
-67 + -136x + -4x2 = 0

Solving
-67 + -136x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(67 + 136x + 4x2) = 0

Factor a trinomial.
-1((67 + 2x)(1 + 2x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(67 + 2x)' equal to zero and attempt to solve:

Simplifying
67 + 2x = 0

Solving
67 + 2x = 0

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

Add '-67' to each side of the equation.
67 + -67 + 2x = 0 + -67

Combine like terms: 67 + -67 = 0
0 + 2x = 0 + -67
2x = 0 + -67

Combine like terms: 0 + -67 = -67
2x = -67

Divide each side by '2'.
x = -33.5

Simplifying
x = -33.5
Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-33.5, -0.5}