29x^2+58x-3480=0

Solution for 29x^2+58x-3480=0 equation:

Simplifying
29x2 + 58x + -3480 = 0

Reorder the terms:
-3480 + 58x + 29x2 = 0

Solving
-3480 + 58x + 29x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '29'.
29(-120 + 2x + x2) = 0

Factor a trinomial.
29((-12 + -1x)(10 + -1x)) = 0

Ignore the factor 29.
Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-12, 10}