(3x+10)(6x)=1632

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Solution for (3x+10)(6x)=1632 equation: 


Simplifying
(3x + 10)(6x) = 1632

Reorder the terms:
(10 + 3x)(6x) = 1632

Remove parenthesis around (6x)
(10 + 3x) * 6x = 1632

Reorder the terms for easier multiplication:
6x(10 + 3x) = 1632
(10 * 6x + 3x * 6x) = 1632
(60x + 18x2) = 1632

Solving
60x + 18x2 = 1632

Solving for variable 'x'.

Reorder the terms:
-1632 + 60x + 18x2 = 1632 + -1632

Combine like terms: 1632 + -1632 = 0
-1632 + 60x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-272 + 10x + 3x2) = 0

Factor a trinomial.
6((-34 + -3x)(8 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-34 + -3x)' equal to zero and attempt to solve:

Simplifying
-34 + -3x = 0

Solving
-34 + -3x = 0

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

Add '34' to each side of the equation.
-34 + 34 + -3x = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -3x = 0 + 34
-3x = 0 + 34

Combine like terms: 0 + 34 = 34
-3x = 34

Divide each side by '-3'.
x = -11.33333333

Simplifying
x = -11.33333333

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-11.33333333, 8}

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