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

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


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

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

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

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

Combine like terms: 28x + 45x = 73x
(63 + 73x + 20x2) = 0

Solving
63 + 73x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 4x)(7 + 5x) = 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 '(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
Solution
x = {-2.25, -1.4}

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