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

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


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

Reorder the terms:
(-5x + 3z)(3z + 5x) = 0

Reorder the terms:
(-5x + 3z)(5x + 3z) = 0

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

Reorder the terms:
((-15xz + -25x2) + 3z * (5x + 3z)) = 0
((-15xz + -25x2) + 3z * (5x + 3z)) = 0
(-15xz + -25x2 + (5x * 3z + 3z * 3z)) = 0
(-15xz + -25x2 + (15xz + 9z2)) = 0

Reorder the terms:
(-15xz + 15xz + -25x2 + 9z2) = 0

Combine like terms: -15xz + 15xz = 0
(0 + -25x2 + 9z2) = 0
(-25x2 + 9z2) = 0

Solving
-25x2 + 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.
-25x2 + 9z2 + -9z2 = 0 + -9z2

Combine like terms: 9z2 + -9z2 = 0
-25x2 + 0 = 0 + -9z2
-25x2 = 0 + -9z2
Remove the zero:
-25x2 = -9z2

Divide each side by '-25'.
x2 = 0.36z2

Simplifying
x2 = 0.36z2

Take the square root of each side:
x = {-0.6z, 0.6z}

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