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

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


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

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

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

Multiply (-5 + x) * (20 + 3x)
(-5(20 + 3x) + x(20 + 3x)) = 0
((20 * -5 + 3x * -5) + x(20 + 3x)) = 0
((-100 + -15x) + x(20 + 3x)) = 0
(-100 + -15x + (20 * x + 3x * x)) = 0
(-100 + -15x + (20x + 3x2)) = 0

Combine like terms: -15x + 20x = 5x
(-100 + 5x + 3x2) = 0

Solving
-100 + 5x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-20 + -3x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve:

Simplifying
-20 + -3x = 0

Solving
-20 + -3x = 0

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

Add '20' to each side of the equation.
-20 + 20 + -3x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = 0 + 20
-3x = 0 + 20

Combine like terms: 0 + 20 = 20
-3x = 20

Divide each side by '-3'.
x = -6.666666667

Simplifying
x = -6.666666667

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-6.666666667, 5}

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