7x^2+30x+8=(7x+2)

Solution for 7x^2+30x+8=(7x+2) equation:

Simplifying
7x2 + 30x + 8 = (7x + 2)

Reorder the terms:
8 + 30x + 7x2 = (7x + 2)

Reorder the terms:
8 + 30x + 7x2 = (2 + 7x)

Remove parenthesis around (2 + 7x)
8 + 30x + 7x2 = 2 + 7x

Solving
8 + 30x + 7x2 = 2 + 7x

Solving for variable 'x'.

Reorder the terms:
8 + -2 + 30x + -7x + 7x2 = 2 + 7x + -2 + -7x

Combine like terms: 8 + -2 = 6
6 + 30x + -7x + 7x2 = 2 + 7x + -2 + -7x

Combine like terms: 30x + -7x = 23x
6 + 23x + 7x2 = 2 + 7x + -2 + -7x

Reorder the terms:
6 + 23x + 7x2 = 2 + -2 + 7x + -7x

Combine like terms: 2 + -2 = 0
6 + 23x + 7x2 = 0 + 7x + -7x
6 + 23x + 7x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 23x + 7x2 = 0

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

Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve:

Simplifying
2 + 7x = 0

Solving
2 + 7x = 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 + 7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 0 + -2
7x = 0 + -2

Combine like terms: 0 + -2 = -2
7x = -2

Divide each side by '7'.
x = -0.2857142857

Simplifying
x = -0.2857142857
Solution
x = {-3, -0.2857142857}