(10x+20)(2x-6)=0

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Solution for (10x+20)(2x-6)=0 equation: 


Simplifying
(10x + 20)(2x + -6) = 0

Reorder the terms:
(20 + 10x)(2x + -6) = 0

Reorder the terms:
(20 + 10x)(-6 + 2x) = 0

Multiply (20 + 10x) * (-6 + 2x)
(20(-6 + 2x) + 10x * (-6 + 2x)) = 0
((-6 * 20 + 2x * 20) + 10x * (-6 + 2x)) = 0
((-120 + 40x) + 10x * (-6 + 2x)) = 0
(-120 + 40x + (-6 * 10x + 2x * 10x)) = 0
(-120 + 40x + (-60x + 20x2)) = 0

Combine like terms: 40x + -60x = -20x
(-120 + -20x + 20x2) = 0

Solving
-120 + -20x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20'.
20(-6 + -1x + x2) = 0

Factor a trinomial.
20((-2 + -1x)(3 + -1x)) = 0

Ignore the factor 20.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-2, 3}

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