(5x+20)(9x-3)=0

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Solution for (5x+20)(9x-3)=0 equation: 


Simplifying
(5x + 20)(9x + -3) = 0

Reorder the terms:
(20 + 5x)(9x + -3) = 0

Reorder the terms:
(20 + 5x)(-3 + 9x) = 0

Multiply (20 + 5x) * (-3 + 9x)
(20(-3 + 9x) + 5x * (-3 + 9x)) = 0
((-3 * 20 + 9x * 20) + 5x * (-3 + 9x)) = 0
((-60 + 180x) + 5x * (-3 + 9x)) = 0
(-60 + 180x + (-3 * 5x + 9x * 5x)) = 0
(-60 + 180x + (-15x + 45x2)) = 0

Combine like terms: 180x + -15x = 165x
(-60 + 165x + 45x2) = 0

Solving
-60 + 165x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15'.
15(-4 + 11x + 3x2) = 0

Factor a trinomial.
15((-4 + -1x)(1 + -3x)) = 0

Ignore the factor 15.

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 '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-4, 0.3333333333}

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