(2x+20)(6x-38)=

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Solution for (2x+20)(6x-38)= equation: 


Simplifying
(2x + 20)(6x + -38) = 0

Reorder the terms:
(20 + 2x)(6x + -38) = 0

Reorder the terms:
(20 + 2x)(-38 + 6x) = 0

Multiply (20 + 2x) * (-38 + 6x)
(20(-38 + 6x) + 2x * (-38 + 6x)) = 0
((-38 * 20 + 6x * 20) + 2x * (-38 + 6x)) = 0
((-760 + 120x) + 2x * (-38 + 6x)) = 0
(-760 + 120x + (-38 * 2x + 6x * 2x)) = 0
(-760 + 120x + (-76x + 12x2)) = 0

Combine like terms: 120x + -76x = 44x
(-760 + 44x + 12x2) = 0

Solving
-760 + 44x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-190 + 11x + 3x2) = 0

Factor a trinomial.
4((-10 + -1x)(19 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(19 + -3x)' equal to zero and attempt to solve:

Simplifying
19 + -3x = 0

Solving
19 + -3x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -3x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = 0 + -19
-3x = 0 + -19

Combine like terms: 0 + -19 = -19
-3x = -19

Divide each side by '-3'.
x = 6.333333333

Simplifying
x = 6.333333333
Solution
x = {-10, 6.333333333}

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