(6x+5)(9x+7)=0

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Solution for (6x+5)(9x+7)=0 equation: 


Simplifying
(6x + 5)(9x + 7) = 0

Reorder the terms:
(5 + 6x)(9x + 7) = 0

Reorder the terms:
(5 + 6x)(7 + 9x) = 0

Multiply (5 + 6x) * (7 + 9x)
(5(7 + 9x) + 6x * (7 + 9x)) = 0
((7 * 5 + 9x * 5) + 6x * (7 + 9x)) = 0
((35 + 45x) + 6x * (7 + 9x)) = 0
(35 + 45x + (7 * 6x + 9x * 6x)) = 0
(35 + 45x + (42x + 54x2)) = 0

Combine like terms: 45x + 42x = 87x
(35 + 87x + 54x2) = 0

Solving
35 + 87x + 54x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 6x)(7 + 9x) = 0


Subproblem 1
Set the factor '(5 + 6x)' equal to zero and attempt to solve:

Simplifying
5 + 6x = 0

Solving
5 + 6x = 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 + 6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 0 + -5
6x = 0 + -5

Combine like terms: 0 + -5 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

Subproblem 2
Set the factor '(7 + 9x)' equal to zero and attempt to solve:

Simplifying
7 + 9x = 0

Solving
7 + 9x = 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 + 9x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 9x = 0 + -7
9x = 0 + -7

Combine like terms: 0 + -7 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778
Solution
x = {-0.8333333333, -0.7777777778}

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