(3x+6)(x-10)=0

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Solution for (3x+6)(x-10)=0 equation: 


Simplifying
(3x + 6)(x + -10) = 0

Reorder the terms:
(6 + 3x)(x + -10) = 0

Reorder the terms:
(6 + 3x)(-10 + x) = 0

Multiply (6 + 3x) * (-10 + x)
(6(-10 + x) + 3x * (-10 + x)) = 0
((-10 * 6 + x * 6) + 3x * (-10 + x)) = 0
((-60 + 6x) + 3x * (-10 + x)) = 0
(-60 + 6x + (-10 * 3x + x * 3x)) = 0
(-60 + 6x + (-30x + 3x2)) = 0

Combine like terms: 6x + -30x = -24x
(-60 + -24x + 3x2) = 0

Solving
-60 + -24x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-20 + -8x + x2) = 0

Factor a trinomial.
3((-2 + -1x)(10 + -1x)) = 0

Ignore the factor 3.

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 '(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 = {-2, 10}

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