(-4x+5)(9x+13)=0

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Solution for (-4x+5)(9x+13)=0 equation: 


Simplifying
(-4x + 5)(9x + 13) = 0

Reorder the terms:
(5 + -4x)(9x + 13) = 0

Reorder the terms:
(5 + -4x)(13 + 9x) = 0

Multiply (5 + -4x) * (13 + 9x)
(5(13 + 9x) + -4x * (13 + 9x)) = 0
((13 * 5 + 9x * 5) + -4x * (13 + 9x)) = 0
((65 + 45x) + -4x * (13 + 9x)) = 0
(65 + 45x + (13 * -4x + 9x * -4x)) = 0
(65 + 45x + (-52x + -36x2)) = 0

Combine like terms: 45x + -52x = -7x
(65 + -7x + -36x2) = 0

Solving
65 + -7x + -36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -4x)(13 + 9x) = 0


Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

Subproblem 2
Set the factor '(13 + 9x)' equal to zero and attempt to solve:

Simplifying
13 + 9x = 0

Solving
13 + 9x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 9x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 9x = 0 + -13
9x = 0 + -13

Combine like terms: 0 + -13 = -13
9x = -13

Divide each side by '9'.
x = -1.444444444

Simplifying
x = -1.444444444
Solution
x = {1.25, -1.444444444}

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