(2x+3z)(2x-3z)=

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Solution for (2x+3z)(2x-3z)= equation:


Simplifying
(2x + 3z)(2x + -3z) = 0

Multiply (2x + 3z) * (2x + -3z)
(2x * (2x + -3z) + 3z * (2x + -3z)) = 0
((2x * 2x + -3z * 2x) + 3z * (2x + -3z)) = 0

Reorder the terms:
((-6xz + 4x2) + 3z * (2x + -3z)) = 0
((-6xz + 4x2) + 3z * (2x + -3z)) = 0
(-6xz + 4x2 + (2x * 3z + -3z * 3z)) = 0
(-6xz + 4x2 + (6xz + -9z2)) = 0

Reorder the terms:
(-6xz + 6xz + 4x2 + -9z2) = 0

Combine like terms: -6xz + 6xz = 0
(0 + 4x2 + -9z2) = 0
(4x2 + -9z2) = 0

Solving
4x2 + -9z2 = 0

Solving for variable 'x'.

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

Add '9z2' to each side of the equation.
4x2 + -9z2 + 9z2 = 0 + 9z2

Combine like terms: -9z2 + 9z2 = 0
4x2 + 0 = 0 + 9z2
4x2 = 0 + 9z2
Remove the zero:
4x2 = 9z2

Divide each side by '4'.
x2 = 2.25z2

Simplifying
x2 = 2.25z2

Take the square root of each side:
x = {-1.5z, 1.5z}

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