2x(x+14)+100=4

Solution for 2x(x+14)+100=4 equation:

Simplifying
2x(x + 14) + 100 = 4

Reorder the terms:
2x(14 + x) + 100 = 4
(14 * 2x + x * 2x) + 100 = 4
(28x + 2x2) + 100 = 4

Reorder the terms:
100 + 28x + 2x2 = 4

Solving
100 + 28x + 2x2 = 4

Solving for variable 'x'.

Reorder the terms:
100 + -4 + 28x + 2x2 = 4 + -4

Combine like terms: 100 + -4 = 96
96 + 28x + 2x2 = 4 + -4

Combine like terms: 4 + -4 = 0
96 + 28x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(48 + 14x + x2) = 0

Factor a trinomial.
2((8 + x)(6 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-8, -6}