4x^2+340x+3000=0

Solution for 4x^2+340x+3000=0 equation:

Simplifying
4x2 + 340x + 3000 = 0

Reorder the terms:
3000 + 340x + 4x2 = 0

Solving
3000 + 340x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(750 + 85x + x2) = 0

Factor a trinomial.
4((75 + x)(10 + x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(75 + x)' equal to zero and attempt to solve:

Simplifying
75 + x = 0

Solving
75 + x = 0

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

Add '-75' to each side of the equation.
75 + -75 + x = 0 + -75

Combine like terms: 75 + -75 = 0
0 + x = 0 + -75
x = 0 + -75

Combine like terms: 0 + -75 = -75
x = -75

Simplifying
x = -75
Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {-75, -10}