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

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


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

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

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

Multiply (20 + 3x) * (-10 + x)
(20(-10 + x) + 3x * (-10 + x)) = 0
((-10 * 20 + x * 20) + 3x * (-10 + x)) = 0
((-200 + 20x) + 3x * (-10 + x)) = 0
(-200 + 20x + (-10 * 3x + x * 3x)) = 0
(-200 + 20x + (-30x + 3x2)) = 0

Combine like terms: 20x + -30x = -10x
(-200 + -10x + 3x2) = 0

Solving
-200 + -10x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-20 + -3x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-6.666666667, 10}

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