3x^2+36x+49=8x

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Solution for 3x^2+36x+49=8x equation: 


Simplifying
3x2 + 36x + 49 = 8x

Reorder the terms:
49 + 36x + 3x2 = 8x

Solving
49 + 36x + 3x2 = 8x

Solving for variable 'x'.

Reorder the terms:
49 + 36x + -8x + 3x2 = 8x + -8x

Combine like terms: 36x + -8x = 28x
49 + 28x + 3x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
49 + 28x + 3x2 = 0

Factor a trinomial.
(7 + x)(7 + 3x) = 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 '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 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 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333
Solution
x = {-7, -2.333333333}

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