2x^2+288x+286=0

Solution for 2x^2+288x+286=0 equation:

Simplifying
2x2 + 288x + 286 = 0

Reorder the terms:
286 + 288x + 2x2 = 0

Solving
286 + 288x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(143 + 144x + x2) = 0

Factor a trinomial.
2((143 + x)(1 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(143 + x)' equal to zero and attempt to solve:

Simplifying
143 + x = 0

Solving
143 + x = 0

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

Add '-143' to each side of the equation.
143 + -143 + x = 0 + -143

Combine like terms: 143 + -143 = 0
0 + x = 0 + -143
x = 0 + -143

Combine like terms: 0 + -143 = -143
x = -143

Simplifying
x = -143
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-143, -1}