6x^2+40x-1000=0

Solution for 6x^2+40x-1000=0 equation:

Simplifying
6x2 + 40x + -1000 = 0

Reorder the terms:
-1000 + 40x + 6x2 = 0

Solving
-1000 + 40x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-500 + 20x + 3x2) = 0

Factor a trinomial.
2((-50 + -3x)(10 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
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
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 = {-16.66666667, 10}