3x^2+100x-2500=0

Solution for 3x^2+100x-2500=0 equation:

Simplifying
3x2 + 100x + -2500 = 0

Reorder the terms:
-2500 + 100x + 3x2 = 0

Solving
-2500 + 100x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-50 + -1x)(50 + -3x) = 0

Subproblem 1
Set the factor '(-50 + -1x)' equal to zero and attempt to solve:

Simplifying
-50 + -1x = 0

Solving
-50 + -1x = 0

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

Add '50' to each side of the equation.
-50 + 50 + -1x = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -1x = 0 + 50
-1x = 0 + 50

Combine like terms: 0 + 50 = 50
-1x = 50

Divide each side by '-1'.
x = -50

Simplifying
x = -50
Subproblem 2
Set the factor '(50 + -3x)' equal to zero and attempt to solve:

Simplifying
50 + -3x = 0

Solving
50 + -3x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -3x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -3x = 0 + -50
-3x = 0 + -50

Combine like terms: 0 + -50 = -50
-3x = -50

Divide each side by '-3'.
x = 16.66666667

Simplifying
x = 16.66666667
Solution
x = {-50, 16.66666667}