7x^2+55x+28=-7+x

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Solution for 7x^2+55x+28=-7+x equation: 


Simplifying
7x2 + 55x + 28 = -7 + x

Reorder the terms:
28 + 55x + 7x2 = -7 + x

Solving
28 + 55x + 7x2 = -7 + x

Solving for variable 'x'.

Reorder the terms:
28 + 7 + 55x + -1x + 7x2 = -7 + x + 7 + -1x

Combine like terms: 28 + 7 = 35
35 + 55x + -1x + 7x2 = -7 + x + 7 + -1x

Combine like terms: 55x + -1x = 54x
35 + 54x + 7x2 = -7 + x + 7 + -1x

Reorder the terms:
35 + 54x + 7x2 = -7 + 7 + x + -1x

Combine like terms: -7 + 7 = 0
35 + 54x + 7x2 = 0 + x + -1x
35 + 54x + 7x2 = x + -1x

Combine like terms: x + -1x = 0
35 + 54x + 7x2 = 0

Factor a trinomial.
(7 + x)(5 + 7x) = 0


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

Simplifying
7 + x = 0

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

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

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

Simplifying
x = -7

Subproblem 2
Set the factor '(5 + 7x)' equal to zero and attempt to solve:

Simplifying
5 + 7x = 0

Solving
5 + 7x = 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 + 7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 0 + -5
7x = 0 + -5

Combine like terms: 0 + -5 = -5
7x = -5

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143
Solution
x = {-7, -0.7142857143}

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