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

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


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

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

Reorder the terms:
0 = ((6xz + 5x2) + -5z * (5x + 6z))
0 = ((6xz + 5x2) + -5z * (5x + 6z))
0 = (6xz + 5x2 + (5x * -5z + 6z * -5z))
0 = (6xz + 5x2 + (-25xz + -30z2))

Reorder the terms:
0 = (6xz + -25xz + 5x2 + -30z2)

Combine like terms: 6xz + -25xz = -19xz
0 = (-19xz + 5x2 + -30z2)

Solving
0 = -19xz + 5x2 + -30z2

Solving for variable 'x'.
Remove the zero:
19xz + -5x2 + 30z2 = -19xz + 5x2 + -30z2 + 19xz + -5x2 + 30z2

Reorder the terms:
19xz + -5x2 + 30z2 = -19xz + 19xz + 5x2 + -5x2 + -30z2 + 30z2

Combine like terms: -19xz + 19xz = 0
19xz + -5x2 + 30z2 = 0 + 5x2 + -5x2 + -30z2 + 30z2
19xz + -5x2 + 30z2 = 5x2 + -5x2 + -30z2 + 30z2

Combine like terms: 5x2 + -5x2 = 0
19xz + -5x2 + 30z2 = 0 + -30z2 + 30z2
19xz + -5x2 + 30z2 = -30z2 + 30z2

Combine like terms: -30z2 + 30z2 = 0
19xz + -5x2 + 30z2 = 0

Factor a trinomial.
(-5x + -6z)(x + -5z) = 0


Subproblem 1
Set the factor '(-5x + -6z)' equal to zero and attempt to solve:

Simplifying
-5x + -6z = 0

Solving
-5x + -6z = 0

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

Add '6z' to each side of the equation.
-5x + -6z + 6z = 0 + 6z

Combine like terms: -6z + 6z = 0
-5x + 0 = 0 + 6z
-5x = 0 + 6z
Remove the zero:
-5x = 6z

Divide each side by '-5'.
x = -1.2z

Simplifying
x = -1.2z

Subproblem 2
Set the factor '(x + -5z)' equal to zero and attempt to solve:

Simplifying
x + -5z = 0

Solving
x + -5z = 0

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

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

Combine like terms: -5z + 5z = 0
x + 0 = 0 + 5z
x = 0 + 5z
Remove the zero:
x = 5z

Simplifying
x = 5z
Solution
x = {-1.2z, 5z}

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