7x+14=7x(x+2)

Solution for 7x+14=7x(x+2) equation:

Simplifying
7x + 14 = 7x(x + 2)

Reorder the terms:
14 + 7x = 7x(x + 2)

Reorder the terms:
14 + 7x = 7x(2 + x)
14 + 7x = (2 * 7x + x * 7x)
14 + 7x = (14x + 7x2)

Solving
14 + 7x = 14x + 7x2

Solving for variable 'x'.

Combine like terms: 7x + -14x = -7x
14 + -7x + -7x2 = 14x + 7x2 + -14x + -7x2

Reorder the terms:
14 + -7x + -7x2 = 14x + -14x + 7x2 + -7x2

Combine like terms: 14x + -14x = 0
14 + -7x + -7x2 = 0 + 7x2 + -7x2
14 + -7x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
14 + -7x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(2 + -1x + -1x2) = 0

Factor a trinomial.
7((1 + -1x)(2 + x)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {1, -2}