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

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


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

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

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

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

Combine like terms: -7x + 5x = -2x
X(-35 + -2x + x2) = 0
(-35 * X + -2x * X + x2 * X) = 0
(-35X + -2xX + x2X) = 0

Solving
-35X + -2xX + x2X = 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(-35 + -2x + x2) = 0

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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Add 'x' to each side of the equation.
-1x + x = 5 + x

Combine like terms: -1x + x = 0
0 = 5 + x

Simplifying
0 = 5 + 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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