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

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Solution for (7x-9)(4x+5)=0 equation: 


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

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

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

Multiply (-9 + 7x) * (5 + 4x)
(-9(5 + 4x) + 7x * (5 + 4x)) = 0
((5 * -9 + 4x * -9) + 7x * (5 + 4x)) = 0
((-45 + -36x) + 7x * (5 + 4x)) = 0
(-45 + -36x + (5 * 7x + 4x * 7x)) = 0
(-45 + -36x + (35x + 28x2)) = 0

Combine like terms: -36x + 35x = -1x
(-45 + -1x + 28x2) = 0

Solving
-45 + -1x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -4x)(9 + -7x) = 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 '(9 + -7x)' equal to zero and attempt to solve:

Simplifying
9 + -7x = 0

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

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

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

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286
Solution
x = {-1.25, 1.285714286}

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