2x^2+10x+6=x^2+5x+2

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Solution for 2x^2+10x+6=x^2+5x+2 equation: 


Simplifying
2x2 + 10x + 6 = x2 + 5x + 2

Reorder the terms:
6 + 10x + 2x2 = x2 + 5x + 2

Reorder the terms:
6 + 10x + 2x2 = 2 + 5x + x2

Solving
6 + 10x + 2x2 = 2 + 5x + x2

Solving for variable 'x'.

Reorder the terms:
6 + -2 + 10x + -5x + 2x2 + -1x2 = 2 + 5x + x2 + -2 + -5x + -1x2

Combine like terms: 6 + -2 = 4
4 + 10x + -5x + 2x2 + -1x2 = 2 + 5x + x2 + -2 + -5x + -1x2

Combine like terms: 10x + -5x = 5x
4 + 5x + 2x2 + -1x2 = 2 + 5x + x2 + -2 + -5x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
4 + 5x + 1x2 = 2 + 5x + x2 + -2 + -5x + -1x2

Reorder the terms:
4 + 5x + 1x2 = 2 + -2 + 5x + -5x + x2 + -1x2

Combine like terms: 2 + -2 = 0
4 + 5x + 1x2 = 0 + 5x + -5x + x2 + -1x2
4 + 5x + 1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
4 + 5x + 1x2 = 0 + x2 + -1x2
4 + 5x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 5x + 1x2 = 0

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


Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {-4, -1}

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