3x^2+45x-9750=0

Solution for 3x^2+45x-9750=0 equation:

Simplifying
3x2 + 45x + -9750 = 0

Reorder the terms:
-9750 + 45x + 3x2 = 0

Solving
-9750 + 45x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3250 + 15x + x2) = 0

Factor a trinomial.
3((-65 + -1x)(50 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-65 + -1x)' equal to zero and attempt to solve:

Simplifying
-65 + -1x = 0

Solving
-65 + -1x = 0

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

Add '65' to each side of the equation.
-65 + 65 + -1x = 0 + 65

Combine like terms: -65 + 65 = 0
0 + -1x = 0 + 65
-1x = 0 + 65

Combine like terms: 0 + 65 = 65
-1x = 65

Divide each side by '-1'.
x = -65

Simplifying
x = -65
Subproblem 2
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
Solution
x = {-65, 50}