X(5x+2)(x-7)=0

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Solution for X(5x+2)(x-7)=0 equation: 


Simplifying
X(5x + 2)(x + -7) = 0

Reorder the terms:
X(2 + 5x)(x + -7) = 0

Reorder the terms:
X(2 + 5x)(-7 + x) = 0

Multiply (2 + 5x) * (-7 + x)
X(2(-7 + x) + 5x * (-7 + x)) = 0
X((-7 * 2 + x * 2) + 5x * (-7 + x)) = 0
X((-14 + 2x) + 5x * (-7 + x)) = 0
X(-14 + 2x + (-7 * 5x + x * 5x)) = 0
X(-14 + 2x + (-35x + 5x2)) = 0

Combine like terms: 2x + -35x = -33x
X(-14 + -33x + 5x2) = 0
(-14 * X + -33x * X + 5x2 * X) = 0
(-14X + -33xX + 5x2X) = 0

Solving
-14X + -33xX + 5x2X = 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(-14 + -33x + 5x2) = 0

Factor a trinomial.
X((-2 + -5x)(7 + -1x)) = 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 '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Add '5x' to each side of the equation.
-5x + 5x = 2 + 5x

Combine like terms: -5x + 5x = 0
0 = 2 + 5x

Simplifying
0 = 2 + 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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Add 'x' to each side of the equation.
-1x + x = -7 + x

Combine like terms: -1x + x = 0
0 = -7 + x

Simplifying
0 = -7 + x

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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