(7z-8x)(7z+8x)=

Solution for (7z-8x)(7z+8x)= equation:

Simplifying
(7z + -8x)(7z + 8x) = 0

Reorder the terms:
(-8x + 7z)(7z + 8x) = 0

Reorder the terms:
(-8x + 7z)(8x + 7z) = 0

Multiply (-8x + 7z) * (8x + 7z)
(-8x * (8x + 7z) + 7z * (8x + 7z)) = 0
((8x * -8x + 7z * -8x) + 7z * (8x + 7z)) = 0

Reorder the terms:
((-56xz + -64x2) + 7z * (8x + 7z)) = 0
((-56xz + -64x2) + 7z * (8x + 7z)) = 0
(-56xz + -64x2 + (8x * 7z + 7z * 7z)) = 0
(-56xz + -64x2 + (56xz + 49z2)) = 0

Reorder the terms:
(-56xz + 56xz + -64x2 + 49z2) = 0

Combine like terms: -56xz + 56xz = 0
(0 + -64x2 + 49z2) = 0
(-64x2 + 49z2) = 0

Solving
-64x2 + 49z2 = 0

Solving for variable 'x'.

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

Add '-49z2' to each side of the equation.
-64x2 + 49z2 + -49z2 = 0 + -49z2

Combine like terms: 49z2 + -49z2 = 0
-64x2 + 0 = 0 + -49z2
-64x2 = 0 + -49z2
Remove the zero:
-64x2 = -49z2

Divide each side by '-64'.
x2 = 0.765625z2

Simplifying
x2 = 0.765625z2

Take the square root of each side:
x = {-0.875z, 0.875z}