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

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


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

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

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

Combine like terms: -36x + 35x = -1x
(63 + -1x + -20x2) = 0

Solving
63 + -1x + -20x2 = 0

Solving for variable 'x'.

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


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

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

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

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

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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 = {1.75, -1.8}

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