z^2+9z-90=(z-6)(z+x)

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Solution for z^2+9z-90=(z-6)(z+x) equation: 


Simplifying
z2 + 9z + -90 = (z + -6)(z + x)

Reorder the terms:
-90 + 9z + z2 = (z + -6)(z + x)

Reorder the terms:
-90 + 9z + z2 = (-6 + z)(z + x)

Reorder the terms:
-90 + 9z + z2 = (-6 + z)(x + z)

Multiply (-6 + z) * (x + z)
-90 + 9z + z2 = (-6(x + z) + z(x + z))
-90 + 9z + z2 = ((x * -6 + z * -6) + z(x + z))
-90 + 9z + z2 = ((-6x + -6z) + z(x + z))
-90 + 9z + z2 = (-6x + -6z + (x * z + z * z))
-90 + 9z + z2 = (-6x + -6z + (xz + z2))

Reorder the terms:
-90 + 9z + z2 = (-6x + xz + -6z + z2)
-90 + 9z + z2 = (-6x + xz + -6z + z2)

Add '-1z2' to each side of the equation.
-90 + 9z + z2 + -1z2 = -6x + xz + -6z + z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-90 + 9z + 0 = -6x + xz + -6z + z2 + -1z2
-90 + 9z = -6x + xz + -6z + z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-90 + 9z = -6x + xz + -6z + 0
-90 + 9z = -6x + xz + -6z

Solving
-90 + 9z = -6x + xz + -6z

Solving for variable 'z'.

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

Add '-1xz' to each side of the equation.
-90 + -1xz + 9z = -6x + xz + -1xz + -6z

Combine like terms: xz + -1xz = 0
-90 + -1xz + 9z = -6x + 0 + -6z
-90 + -1xz + 9z = -6x + -6z

Add '6z' to each side of the equation.
-90 + -1xz + 9z + 6z = -6x + -6z + 6z

Combine like terms: 9z + 6z = 15z
-90 + -1xz + 15z = -6x + -6z + 6z

Combine like terms: -6z + 6z = 0
-90 + -1xz + 15z = -6x + 0
-90 + -1xz + 15z = -6x

Add '90' to each side of the equation.
-90 + -1xz + 90 + 15z = 90 + -6x

Reorder the terms:
-90 + 90 + -1xz + 15z = 90 + -6x

Combine like terms: -90 + 90 = 0
0 + -1xz + 15z = 90 + -6x
-1xz + 15z = 90 + -6x

Reorder the terms:
-90 + 6x + -1xz + 15z = 90 + -6x + -90 + 6x

Reorder the terms:
-90 + 6x + -1xz + 15z = 90 + -90 + -6x + 6x

Combine like terms: 90 + -90 = 0
-90 + 6x + -1xz + 15z = 0 + -6x + 6x
-90 + 6x + -1xz + 15z = -6x + 6x

Combine like terms: -6x + 6x = 0
-90 + 6x + -1xz + 15z = 0

The solution to this equation could not be determined.

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