5x(3x+1)+7(3x+1)=

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Solution for 5x(3x+1)+7(3x+1)= equation: 


Simplifying
5x(3x + 1) + 7(3x + 1) = 0

Reorder the terms:
5x(1 + 3x) + 7(3x + 1) = 0
(1 * 5x + 3x * 5x) + 7(3x + 1) = 0
(5x + 15x2) + 7(3x + 1) = 0

Reorder the terms:
5x + 15x2 + 7(1 + 3x) = 0
5x + 15x2 + (1 * 7 + 3x * 7) = 0
5x + 15x2 + (7 + 21x) = 0

Reorder the terms:
7 + 5x + 21x + 15x2 = 0

Combine like terms: 5x + 21x = 26x
7 + 26x + 15x2 = 0

Solving
7 + 26x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 5x)(1 + 3x) = 0


Subproblem 1
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 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 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-1.4, -0.3333333333}

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