2x^2-10x-21000=0

Solution for 2x^2-10x-21000=0 equation:

Simplifying
2x2 + -10x + -21000 = 0

Reorder the terms:
-21000 + -10x + 2x2 = 0

Solving
-21000 + -10x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10500 + -5x + x2) = 0

Factor a trinomial.
2((-100 + -1x)(105 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-100 + -1x)' equal to zero and attempt to solve:

Simplifying
-100 + -1x = 0

Solving
-100 + -1x = 0

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

Add '100' to each side of the equation.
-100 + 100 + -1x = 0 + 100

Combine like terms: -100 + 100 = 0
0 + -1x = 0 + 100
-1x = 0 + 100

Combine like terms: 0 + 100 = 100
-1x = 100

Divide each side by '-1'.
x = -100

Simplifying
x = -100
Subproblem 2
Set the factor '(105 + -1x)' equal to zero and attempt to solve:

Simplifying
105 + -1x = 0

Solving
105 + -1x = 0

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

Add '-105' to each side of the equation.
105 + -105 + -1x = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -1x = 0 + -105
-1x = 0 + -105

Combine like terms: 0 + -105 = -105
-1x = -105

Divide each side by '-1'.
x = 105

Simplifying
x = 105
Solution
x = {-100, 105}