(7x+5)(4x+9)=

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Solution for (7x+5)(4x+9)= equation: 


Simplifying
(7x + 5)(4x + 9) = 0

Reorder the terms:
(5 + 7x)(4x + 9) = 0

Reorder the terms:
(5 + 7x)(9 + 4x) = 0

Multiply (5 + 7x) * (9 + 4x)
(5(9 + 4x) + 7x * (9 + 4x)) = 0
((9 * 5 + 4x * 5) + 7x * (9 + 4x)) = 0
((45 + 20x) + 7x * (9 + 4x)) = 0
(45 + 20x + (9 * 7x + 4x * 7x)) = 0
(45 + 20x + (63x + 28x2)) = 0

Combine like terms: 20x + 63x = 83x
(45 + 83x + 28x2) = 0

Solving
45 + 83x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 4x)(5 + 7x) = 0


Subproblem 1
Set the factor '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 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 + 4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

Subproblem 2
Set the factor '(5 + 7x)' equal to zero and attempt to solve:

Simplifying
5 + 7x = 0

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

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

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

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143
Solution
x = {-2.25, -0.7142857143}

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