(X-8)x(4x+7)=0

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Solution for (X-8)x(4x+7)=0 equation: 


Simplifying
(X + -8) * x(4x + 7) = 0

Reorder the terms:
(-8 + X) * x(4x + 7) = 0

Reorder the terms:
(-8 + X) * x(7 + 4x) = 0

Reorder the terms for easier multiplication:
x(-8 + X)(7 + 4x) = 0

Multiply (-8 + X) * (7 + 4x)
x(-8(7 + 4x) + X(7 + 4x)) = 0
x((7 * -8 + 4x * -8) + X(7 + 4x)) = 0
x((-56 + -32x) + X(7 + 4x)) = 0
x(-56 + -32x + (7 * X + 4x * X)) = 0
x(-56 + -32x + (7X + 4xX)) = 0

Reorder the terms:
x(-56 + 7X + -32x + 4xX) = 0
x(-56 + 7X + -32x + 4xX) = 0
(-56 * x + 7X * x + -32x * x + 4xX * x) = 0
(-56x + 7xX + -32x2 + 4x2X) = 0

Solving
-56x + 7xX + -32x2 + 4x2X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-56 + 7X + -32x + 4xX) = 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 '(-56 + 7X + -32x + 4xX)' equal to zero and attempt to solve:

Simplifying
-56 + 7X + -32x + 4xX = 0

Solving
-56 + 7X + -32x + 4xX = 0

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

Add '56' to each side of the equation.
-56 + 7X + -32x + 56 + 4xX = 0 + 56

Reorder the terms:
-56 + 56 + 7X + -32x + 4xX = 0 + 56

Combine like terms: -56 + 56 = 0
0 + 7X + -32x + 4xX = 0 + 56
7X + -32x + 4xX = 0 + 56

Combine like terms: 0 + 56 = 56
7X + -32x + 4xX = 56

Add '-7X' to each side of the equation.
7X + -32x + -7X + 4xX = 56 + -7X

Reorder the terms:
7X + -7X + -32x + 4xX = 56 + -7X

Combine like terms: 7X + -7X = 0
0 + -32x + 4xX = 56 + -7X
-32x + 4xX = 56 + -7X

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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