2x^2+16x+300=718

Solution for 2x^2+16x+300=718 equation:

Simplifying
2x2 + 16x + 300 = 718

Reorder the terms:
300 + 16x + 2x2 = 718

Solving
300 + 16x + 2x2 = 718

Solving for variable 'x'.

Reorder the terms:
300 + -718 + 16x + 2x2 = 718 + -718

Combine like terms: 300 + -718 = -418
-418 + 16x + 2x2 = 718 + -718

Combine like terms: 718 + -718 = 0
-418 + 16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-209 + 8x + x2) = 0

Factor a trinomial.
2((-19 + -1x)(11 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve:

Simplifying
-19 + -1x = 0

Solving
-19 + -1x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1x = 0 + 19
-1x = 0 + 19

Combine like terms: 0 + 19 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-19, 11}