29x^2-100x-1900=0

Solution for 29x^2-100x-1900=0 equation:

Simplifying
29x2 + -100x + -1900 = 0

Reorder the terms:
-1900 + -100x + 29x2 = 0

Solving
-1900 + -100x + 29x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-190 + -29x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-190 + -29x)' equal to zero and attempt to solve:

Simplifying
-190 + -29x = 0

Solving
-190 + -29x = 0

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

Add '190' to each side of the equation.
-190 + 190 + -29x = 0 + 190

Combine like terms: -190 + 190 = 0
0 + -29x = 0 + 190
-29x = 0 + 190

Combine like terms: 0 + 190 = 190
-29x = 190

Divide each side by '-29'.
x = -6.551724138

Simplifying
x = -6.551724138
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 = {-6.551724138, 10}