3x^2+21x+5x+35=0

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Solution for 3x^2+21x+5x+35=0 equation: 


Simplifying
3x2 + 21x + 5x + 35 = 0

Reorder the terms:
35 + 21x + 5x + 3x2 = 0

Combine like terms: 21x + 5x = 26x
35 + 26x + 3x2 = 0

Solving
35 + 26x + 3x2 = 0

Solving for variable 'x'.

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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