3x^2+28x+68=2x^2+17x+44

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Solution for 3x^2+28x+68=2x^2+17x+44 equation: 


Simplifying
3x2 + 28x + 68 = 2x2 + 17x + 44

Reorder the terms:
68 + 28x + 3x2 = 2x2 + 17x + 44

Reorder the terms:
68 + 28x + 3x2 = 44 + 17x + 2x2

Solving
68 + 28x + 3x2 = 44 + 17x + 2x2

Solving for variable 'x'.

Reorder the terms:
68 + -44 + 28x + -17x + 3x2 + -2x2 = 44 + 17x + 2x2 + -44 + -17x + -2x2

Combine like terms: 68 + -44 = 24
24 + 28x + -17x + 3x2 + -2x2 = 44 + 17x + 2x2 + -44 + -17x + -2x2

Combine like terms: 28x + -17x = 11x
24 + 11x + 3x2 + -2x2 = 44 + 17x + 2x2 + -44 + -17x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
24 + 11x + 1x2 = 44 + 17x + 2x2 + -44 + -17x + -2x2

Reorder the terms:
24 + 11x + 1x2 = 44 + -44 + 17x + -17x + 2x2 + -2x2

Combine like terms: 44 + -44 = 0
24 + 11x + 1x2 = 0 + 17x + -17x + 2x2 + -2x2
24 + 11x + 1x2 = 17x + -17x + 2x2 + -2x2

Combine like terms: 17x + -17x = 0
24 + 11x + 1x2 = 0 + 2x2 + -2x2
24 + 11x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
24 + 11x + 1x2 = 0

Factor a trinomial.
(8 + x)(3 + x) = 0


Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

Subproblem 2
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
Solution
x = {-8, -3}

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