3x^2+33x+36=1+7x

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Solution for 3x^2+33x+36=1+7x equation: 


Simplifying
3x2 + 33x + 36 = 1 + 7x

Reorder the terms:
36 + 33x + 3x2 = 1 + 7x

Solving
36 + 33x + 3x2 = 1 + 7x

Solving for variable 'x'.

Reorder the terms:
36 + -1 + 33x + -7x + 3x2 = 1 + 7x + -1 + -7x

Combine like terms: 36 + -1 = 35
35 + 33x + -7x + 3x2 = 1 + 7x + -1 + -7x

Combine like terms: 33x + -7x = 26x
35 + 26x + 3x2 = 1 + 7x + -1 + -7x

Reorder the terms:
35 + 26x + 3x2 = 1 + -1 + 7x + -7x

Combine like terms: 1 + -1 = 0
35 + 26x + 3x2 = 0 + 7x + -7x
35 + 26x + 3x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
35 + 26x + 3x2 = 0

Factor a trinomial.
(7 + x)(5 + 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 '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-7, -1.666666667}

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