x^2+7x+2=100

Solution for x^2+7x+2=100 equation:

Simplifying
x2 + 7x + 2 = 100

Reorder the terms:
2 + 7x + x2 = 100

Solving
2 + 7x + x2 = 100

Solving for variable 'x'.

Reorder the terms:
2 + -100 + 7x + x2 = 100 + -100

Combine like terms: 2 + -100 = -98
-98 + 7x + x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-98 + 7x + x2 = 0

Factor a trinomial.
(-14 + -1x)(7 + -1x) = 0

Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-14, 7}