5x^2+31x+6=(5x+1)

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Solution for 5x^2+31x+6=(5x+1) equation: 


Simplifying
5x2 + 31x + 6 = (5x + 1)

Reorder the terms:
6 + 31x + 5x2 = (5x + 1)

Reorder the terms:
6 + 31x + 5x2 = (1 + 5x)

Remove parenthesis around (1 + 5x)
6 + 31x + 5x2 = 1 + 5x

Solving
6 + 31x + 5x2 = 1 + 5x

Solving for variable 'x'.

Reorder the terms:
6 + -1 + 31x + -5x + 5x2 = 1 + 5x + -1 + -5x

Combine like terms: 6 + -1 = 5
5 + 31x + -5x + 5x2 = 1 + 5x + -1 + -5x

Combine like terms: 31x + -5x = 26x
5 + 26x + 5x2 = 1 + 5x + -1 + -5x

Reorder the terms:
5 + 26x + 5x2 = 1 + -1 + 5x + -5x

Combine like terms: 1 + -1 = 0
5 + 26x + 5x2 = 0 + 5x + -5x
5 + 26x + 5x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
5 + 26x + 5x2 = 0

Factor a trinomial.
(5 + x)(1 + 5x) = 0


Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-5, -0.2}

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