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

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Solution for (4x+9)(1-5x)=0 equation: 


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

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

Multiply (9 + 4x) * (1 + -5x)
(9(1 + -5x) + 4x * (1 + -5x)) = 0
((1 * 9 + -5x * 9) + 4x * (1 + -5x)) = 0
((9 + -45x) + 4x * (1 + -5x)) = 0
(9 + -45x + (1 * 4x + -5x * 4x)) = 0
(9 + -45x + (4x + -20x2)) = 0

Combine like terms: -45x + 4x = -41x
(9 + -41x + -20x2) = 0

Solving
9 + -41x + -20x2 = 0

Solving for variable 'x'.

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


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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

Subproblem 2
Set the factor '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 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 + 4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25
Solution
x = {0.2, -2.25}

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