(3x+10)(x-20)=0

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Solution for (3x+10)(x-20)=0 equation: 


Simplifying
(3x + 10)(x + -20) = 0

Reorder the terms:
(10 + 3x)(x + -20) = 0

Reorder the terms:
(10 + 3x)(-20 + x) = 0

Multiply (10 + 3x) * (-20 + x)
(10(-20 + x) + 3x * (-20 + x)) = 0
((-20 * 10 + x * 10) + 3x * (-20 + x)) = 0
((-200 + 10x) + 3x * (-20 + x)) = 0
(-200 + 10x + (-20 * 3x + x * 3x)) = 0
(-200 + 10x + (-60x + 3x2)) = 0

Combine like terms: 10x + -60x = -50x
(-200 + -50x + 3x2) = 0

Solving
-200 + -50x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -3x)(20 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 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 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-3.333333333, 20}

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