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

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


Simplifying
(4 + -1x)(5x + 9) = 0

Reorder the terms:
(4 + -1x)(9 + 5x) = 0

Multiply (4 + -1x) * (9 + 5x)
(4(9 + 5x) + -1x * (9 + 5x)) = 0
((9 * 4 + 5x * 4) + -1x * (9 + 5x)) = 0
((36 + 20x) + -1x * (9 + 5x)) = 0
(36 + 20x + (9 * -1x + 5x * -1x)) = 0
(36 + 20x + (-9x + -5x2)) = 0

Combine like terms: 20x + -9x = 11x
(36 + 11x + -5x2) = 0

Solving
36 + 11x + -5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(9 + 5x) = 0


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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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 = {4, -1.8}

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