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

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


Simplifying
X(-1x + 2)(-1x + 7) = 0

Reorder the terms:
X(2 + -1x)(-1x + 7) = 0

Reorder the terms:
X(2 + -1x)(7 + -1x) = 0

Multiply (2 + -1x) * (7 + -1x)
X(2(7 + -1x) + -1x * (7 + -1x)) = 0
X((7 * 2 + -1x * 2) + -1x * (7 + -1x)) = 0
X((14 + -2x) + -1x * (7 + -1x)) = 0
X(14 + -2x + (7 * -1x + -1x * -1x)) = 0
X(14 + -2x + (-7x + 1x2)) = 0

Combine like terms: -2x + -7x = -9x
X(14 + -9x + 1x2) = 0
(14 * X + -9x * X + 1x2 * X) = 0
(14X + -9xX + 1x2X) = 0

Solving
14X + -9xX + 1x2X = 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 + -9x + x2) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Add 'x' to each side of the equation.
-1x + x = -2 + x

Combine like terms: -1x + x = 0
0 = -2 + x

Simplifying
0 = -2 + x

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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