4(1-9x)(5x+3)=0

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Solution for 4(1-9x)(5x+3)=0 equation: 


Simplifying
4(1 + -9x)(5x + 3) = 0

Reorder the terms:
4(1 + -9x)(3 + 5x) = 0

Multiply (1 + -9x) * (3 + 5x)
4(1(3 + 5x) + -9x * (3 + 5x)) = 0
4((3 * 1 + 5x * 1) + -9x * (3 + 5x)) = 0
4((3 + 5x) + -9x * (3 + 5x)) = 0
4(3 + 5x + (3 * -9x + 5x * -9x)) = 0
4(3 + 5x + (-27x + -45x2)) = 0

Combine like terms: 5x + -27x = -22x
4(3 + -22x + -45x2) = 0
(3 * 4 + -22x * 4 + -45x2 * 4) = 0
(12 + -88x + -180x2) = 0

Solving
12 + -88x + -180x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -22x + -45x2) = 0

Factor a trinomial.
4((1 + -9x)(3 + 5x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1 + -9x)' equal to zero and attempt to solve:

Simplifying
1 + -9x = 0

Solving
1 + -9x = 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 + -9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 0 + -1
-9x = 0 + -1

Combine like terms: 0 + -1 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111

Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {0.1111111111, -0.6}

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