-5x(x-9)(z+7)=0

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Solution for -5x(x-9)(z+7)=0 equation: 


Simplifying
-5x(x + -9)(z + 7) = 0

Reorder the terms:
-5x(-9 + x)(z + 7) = 0

Reorder the terms:
-5x(-9 + x)(7 + z) = 0

Multiply (-9 + x) * (7 + z)
-5x(-9(7 + z) + x(7 + z)) = 0
-5x((7 * -9 + z * -9) + x(7 + z)) = 0
-5x((-63 + -9z) + x(7 + z)) = 0
-5x(-63 + -9z + (7 * x + z * x)) = 0
-5x(-63 + -9z + (7x + xz)) = 0

Reorder the terms:
-5x(-63 + 7x + xz + -9z) = 0
-5x(-63 + 7x + xz + -9z) = 0
(-63 * -5x + 7x * -5x + xz * -5x + -9z * -5x) = 0

Reorder the terms:
(315x + 45xz + -35x2 + -5x2z) = 0
(315x + 45xz + -35x2 + -5x2z) = 0

Solving
315x + 45xz + -35x2 + -5x2z = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(63 + 9z + -7x + -1xz) = 0

Ignore the factor 5.

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 '(63 + 9z + -7x + -1xz)' equal to zero and attempt to solve:

Simplifying
63 + 9z + -7x + -1xz = 0

Reorder the terms:
63 + -7x + -1xz + 9z = 0

Solving
63 + -7x + -1xz + 9z = 0

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

Add '-63' to each side of the equation.
63 + -7x + -1xz + -63 + 9z = 0 + -63

Reorder the terms:
63 + -63 + -7x + -1xz + 9z = 0 + -63

Combine like terms: 63 + -63 = 0
0 + -7x + -1xz + 9z = 0 + -63
-7x + -1xz + 9z = 0 + -63

Combine like terms: 0 + -63 = -63
-7x + -1xz + 9z = -63

Add '-9z' to each side of the equation.
-7x + -1xz + 9z + -9z = -63 + -9z

Combine like terms: 9z + -9z = 0
-7x + -1xz + 0 = -63 + -9z
-7x + -1xz = -63 + -9z

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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