7x^2+286x-41=0

Solution for 7x^2+286x-41=0 equation:

Simplifying
7x2 + 286x + -41 = 0

Reorder the terms:
-41 + 286x + 7x2 = 0

Solving
-41 + 286x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-41 + -1x)(1 + -7x) = 0

Subproblem 1
Set the factor '(-41 + -1x)' equal to zero and attempt to solve:

Simplifying
-41 + -1x = 0

Solving
-41 + -1x = 0

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

Add '41' to each side of the equation.
-41 + 41 + -1x = 0 + 41

Combine like terms: -41 + 41 = 0
0 + -1x = 0 + 41
-1x = 0 + 41

Combine like terms: 0 + 41 = 41
-1x = 41

Divide each side by '-1'.
x = -41

Simplifying
x = -41
Subproblem 2
Set the factor '(1 + -7x)' equal to zero and attempt to solve:

Simplifying
1 + -7x = 0

Solving
1 + -7x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 0 + -1
-7x = 0 + -1

Combine like terms: 0 + -1 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429
Solution
x = {-41, 0.1428571429}