X(5x+8)(7x-3)=0

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Solution for X(5x+8)(7x-3)=0 equation: 


Simplifying
X(5x + 8)(7x + -3) = 0

Reorder the terms:
X(8 + 5x)(7x + -3) = 0

Reorder the terms:
X(8 + 5x)(-3 + 7x) = 0

Multiply (8 + 5x) * (-3 + 7x)
X(8(-3 + 7x) + 5x * (-3 + 7x)) = 0
X((-3 * 8 + 7x * 8) + 5x * (-3 + 7x)) = 0
X((-24 + 56x) + 5x * (-3 + 7x)) = 0
X(-24 + 56x + (-3 * 5x + 7x * 5x)) = 0
X(-24 + 56x + (-15x + 35x2)) = 0

Combine like terms: 56x + -15x = 41x
X(-24 + 41x + 35x2) = 0
(-24 * X + 41x * X + 35x2 * X) = 0
(-24X + 41xX + 35x2X) = 0

Solving
-24X + 41xX + 35x2X = 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(-24 + 41x + 35x2) = 0

Factor a trinomial.
X((-8 + -5x)(3 + -7x)) = 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 '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 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 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Add '5x' to each side of the equation.
-5x + 5x = 8 + 5x

Combine like terms: -5x + 5x = 0
0 = 8 + 5x

Simplifying
0 = 8 + 5x

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 '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Add '7x' to each side of the equation.
-7x + 7x = -3 + 7x

Combine like terms: -7x + 7x = 0
0 = -3 + 7x

Simplifying
0 = -3 + 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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