(3x-33)(2x+26)=

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Solution for (3x-33)(2x+26)= equation: 


Simplifying
(3x + -33)(2x + 26) = 0

Reorder the terms:
(-33 + 3x)(2x + 26) = 0

Reorder the terms:
(-33 + 3x)(26 + 2x) = 0

Multiply (-33 + 3x) * (26 + 2x)
(-33(26 + 2x) + 3x * (26 + 2x)) = 0
((26 * -33 + 2x * -33) + 3x * (26 + 2x)) = 0
((-858 + -66x) + 3x * (26 + 2x)) = 0
(-858 + -66x + (26 * 3x + 2x * 3x)) = 0
(-858 + -66x + (78x + 6x2)) = 0

Combine like terms: -66x + 78x = 12x
(-858 + 12x + 6x2) = 0

Solving
-858 + 12x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-143 + 2x + x2) = 0

Factor a trinomial.
6((-13 + -1x)(11 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-13, 11}

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