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

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


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

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

Reorder the terms:
((-20xz + 25x2) + 4z * (5x + -4z)) = 0
((-20xz + 25x2) + 4z * (5x + -4z)) = 0
(-20xz + 25x2 + (5x * 4z + -4z * 4z)) = 0
(-20xz + 25x2 + (20xz + -16z2)) = 0

Reorder the terms:
(-20xz + 20xz + 25x2 + -16z2) = 0

Combine like terms: -20xz + 20xz = 0
(0 + 25x2 + -16z2) = 0
(25x2 + -16z2) = 0

Solving
25x2 + -16z2 = 0

Solving for variable 'x'.

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

Add '16z2' to each side of the equation.
25x2 + -16z2 + 16z2 = 0 + 16z2

Combine like terms: -16z2 + 16z2 = 0
25x2 + 0 = 0 + 16z2
25x2 = 0 + 16z2
Remove the zero:
25x2 = 16z2

Divide each side by '25'.
x2 = 0.64z2

Simplifying
x2 = 0.64z2

Take the square root of each side:
x = {-0.8z, 0.8z}

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