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

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


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

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

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

Multiply (-9 + 5x) * (4 + 7x)
(-9(4 + 7x) + 5x * (4 + 7x)) = 0
((4 * -9 + 7x * -9) + 5x * (4 + 7x)) = 0
((-36 + -63x) + 5x * (4 + 7x)) = 0
(-36 + -63x + (4 * 5x + 7x * 5x)) = 0
(-36 + -63x + (20x + 35x2)) = 0

Combine like terms: -63x + 20x = -43x
(-36 + -43x + 35x2) = 0

Solving
-36 + -43x + 35x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve:

Simplifying
-4 + -7x = 0

Solving
-4 + -7x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -7x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 0 + 4
-7x = 0 + 4

Combine like terms: 0 + 4 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

Subproblem 2
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
Solution
x = {-0.5714285714, 1.8}

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