(4x-9z)(3x+5z)=

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Solution for (4x-9z)(3x+5z)= equation: 


Simplifying
(4x + -9z)(3x + 5z) = 0

Multiply (4x + -9z) * (3x + 5z)
(4x * (3x + 5z) + -9z * (3x + 5z)) = 0
((3x * 4x + 5z * 4x) + -9z * (3x + 5z)) = 0

Reorder the terms:
((20xz + 12x2) + -9z * (3x + 5z)) = 0
((20xz + 12x2) + -9z * (3x + 5z)) = 0
(20xz + 12x2 + (3x * -9z + 5z * -9z)) = 0
(20xz + 12x2 + (-27xz + -45z2)) = 0

Reorder the terms:
(20xz + -27xz + 12x2 + -45z2) = 0

Combine like terms: 20xz + -27xz = -7xz
(-7xz + 12x2 + -45z2) = 0

Solving
-7xz + 12x2 + -45z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -9z)(3x + 5z) = 0


Subproblem 1
Set the factor '(4x + -9z)' equal to zero and attempt to solve:

Simplifying
4x + -9z = 0

Solving
4x + -9z = 0

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

Add '9z' to each side of the equation.
4x + -9z + 9z = 0 + 9z

Combine like terms: -9z + 9z = 0
4x + 0 = 0 + 9z
4x = 0 + 9z
Remove the zero:
4x = 9z

Divide each side by '4'.
x = 2.25z

Simplifying
x = 2.25z

Subproblem 2
Set the factor '(3x + 5z)' equal to zero and attempt to solve:

Simplifying
3x + 5z = 0

Solving
3x + 5z = 0

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

Add '-5z' to each side of the equation.
3x + 5z + -5z = 0 + -5z

Combine like terms: 5z + -5z = 0
3x + 0 = 0 + -5z
3x = 0 + -5z
Remove the zero:
3x = -5z

Divide each side by '3'.
x = -1.666666667z

Simplifying
x = -1.666666667z
Solution
x = {2.25z, -1.666666667z}

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