(19x-8)X(6x+7)=

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Solution for (19x-8)X(6x+7)= equation: 


Simplifying
(19x + -8) * X(6x + 7) = 0

Reorder the terms:
(-8 + 19x) * X(6x + 7) = 0

Reorder the terms:
(-8 + 19x) * X(7 + 6x) = 0

Reorder the terms for easier multiplication:
X(-8 + 19x)(7 + 6x) = 0

Multiply (-8 + 19x) * (7 + 6x)
X(-8(7 + 6x) + 19x * (7 + 6x)) = 0
X((7 * -8 + 6x * -8) + 19x * (7 + 6x)) = 0
X((-56 + -48x) + 19x * (7 + 6x)) = 0
X(-56 + -48x + (7 * 19x + 6x * 19x)) = 0
X(-56 + -48x + (133x + 114x2)) = 0

Combine like terms: -48x + 133x = 85x
X(-56 + 85x + 114x2) = 0
(-56 * X + 85x * X + 114x2 * X) = 0
(-56X + 85xX + 114x2X) = 0

Solving
-56X + 85xX + 114x2X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(-56 + 85x + 114x2) = 0

Factor a trinomial.
X((-7 + -6x)(8 + -19x)) = 0


Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

Subproblem 2
Set the factor '(-7 + -6x)' equal to zero and attempt to solve:

Simplifying
-7 + -6x = 0

Solving
-7 + -6x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -6x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = 0 + 7
-6x = 0 + 7

Combine like terms: 0 + 7 = 7
-6x = 7

Add '6x' to each side of the equation.
-6x + 6x = 7 + 6x

Combine like terms: -6x + 6x = 0
0 = 7 + 6x

Simplifying
0 = 7 + 6x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(8 + -19x)' equal to zero and attempt to solve:

Simplifying
8 + -19x = 0

Solving
8 + -19x = 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 + -19x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -19x = 0 + -8
-19x = 0 + -8

Combine like terms: 0 + -8 = -8
-19x = -8

Add '19x' to each side of the equation.
-19x + 19x = -8 + 19x

Combine like terms: -19x + 19x = 0
0 = -8 + 19x

Simplifying
0 = -8 + 19x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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