(3x+20)(5x-50)=

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Solution for (3x+20)(5x-50)= equation: 


Simplifying
(3x + 20)(5x + -50) = 0

Reorder the terms:
(20 + 3x)(5x + -50) = 0

Reorder the terms:
(20 + 3x)(-50 + 5x) = 0

Multiply (20 + 3x) * (-50 + 5x)
(20(-50 + 5x) + 3x * (-50 + 5x)) = 0
((-50 * 20 + 5x * 20) + 3x * (-50 + 5x)) = 0
((-1000 + 100x) + 3x * (-50 + 5x)) = 0
(-1000 + 100x + (-50 * 3x + 5x * 3x)) = 0
(-1000 + 100x + (-150x + 15x2)) = 0

Combine like terms: 100x + -150x = -50x
(-1000 + -50x + 15x2) = 0

Solving
-1000 + -50x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-200 + -10x + 3x2) = 0

Factor a trinomial.
5((-20 + -3x)(10 + -1x)) = 0

Ignore the factor 5.

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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