(5x+9)(7x+1)=

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Solution for (5x+9)(7x+1)= equation: 


Simplifying
(5x + 9)(7x + 1) = 0

Reorder the terms:
(9 + 5x)(7x + 1) = 0

Reorder the terms:
(9 + 5x)(1 + 7x) = 0

Multiply (9 + 5x) * (1 + 7x)
(9(1 + 7x) + 5x * (1 + 7x)) = 0
((1 * 9 + 7x * 9) + 5x * (1 + 7x)) = 0
((9 + 63x) + 5x * (1 + 7x)) = 0
(9 + 63x + (1 * 5x + 7x * 5x)) = 0
(9 + 63x + (5x + 35x2)) = 0

Combine like terms: 63x + 5x = 68x
(9 + 68x + 35x2) = 0

Solving
9 + 68x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 5x)(1 + 7x) = 0


Subproblem 1
Set the factor '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve:

Simplifying
1 + 7x = 0

Solving
1 + 7x = 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 + 7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 0 + -1
7x = 0 + -1

Combine like terms: 0 + -1 = -1
7x = -1

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429
Solution
x = {-1.8, -0.1428571429}

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