z(6z-5)(x+5)=0

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Solution for z(6z-5)(x+5)=0 equation:


Simplifying
z(6z + -5)(x + 5) = 0

Reorder the terms:
z(-5 + 6z)(x + 5) = 0

Reorder the terms:
z(-5 + 6z)(5 + x) = 0

Multiply (-5 + 6z) * (5 + x)
z(-5(5 + x) + 6z * (5 + x)) = 0
z((5 * -5 + x * -5) + 6z * (5 + x)) = 0
z((-25 + -5x) + 6z * (5 + x)) = 0
z(-25 + -5x + (5 * 6z + x * 6z)) = 0

Reorder the terms:
z(-25 + -5x + (6xz + 30z)) = 0
z(-25 + -5x + (6xz + 30z)) = 0
z(-25 + -5x + 6xz + 30z) = 0
(-25 * z + -5x * z + 6xz * z + 30z * z) = 0

Reorder the terms:
(-5xz + 6xz2 + -25z + 30z2) = 0
(-5xz + 6xz2 + -25z + 30z2) = 0

Solving
-5xz + 6xz2 + -25z + 30z2 = 0

Solving for variable 'x'.

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

Add '25z' to each side of the equation.
-5xz + 6xz2 + -25z + 25z + 30z2 = 0 + 25z

Combine like terms: -25z + 25z = 0
-5xz + 6xz2 + 0 + 30z2 = 0 + 25z
-5xz + 6xz2 + 30z2 = 0 + 25z
Remove the zero:
-5xz + 6xz2 + 30z2 = 25z

Add '-30z2' to each side of the equation.
-5xz + 6xz2 + 30z2 + -30z2 = 25z + -30z2

Combine like terms: 30z2 + -30z2 = 0
-5xz + 6xz2 + 0 = 25z + -30z2
-5xz + 6xz2 = 25z + -30z2

Reorder the terms:
-5xz + 6xz2 + -25z + 30z2 = 25z + -25z + -30z2 + 30z2

Combine like terms: 25z + -25z = 0
-5xz + 6xz2 + -25z + 30z2 = 0 + -30z2 + 30z2
-5xz + 6xz2 + -25z + 30z2 = -30z2 + 30z2

Combine like terms: -30z2 + 30z2 = 0
-5xz + 6xz2 + -25z + 30z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(-5x + 6xz + -25 + 30z) = 0

Subproblem 1

Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. z + -1z = 0 + -1z Remove the zero: 0 = -1z Simplifying 0 = -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-5x + 6xz + -25 + 30z)' equal to zero and attempt to solve: Simplifying -5x + 6xz + -25 + 30z = 0 Reorder the terms: -25 + -5x + 6xz + 30z = 0 Solving -25 + -5x + 6xz + 30z = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + -5x + 6xz + 25 + 30z = 0 + 25 Reorder the terms: -25 + 25 + -5x + 6xz + 30z = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -5x + 6xz + 30z = 0 + 25 -5x + 6xz + 30z = 0 + 25 Combine like terms: 0 + 25 = 25 -5x + 6xz + 30z = 25 Add '-30z' to each side of the equation. -5x + 6xz + 30z + -30z = 25 + -30z Combine like terms: 30z + -30z = 0 -5x + 6xz + 0 = 25 + -30z -5x + 6xz = 25 + -30z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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