25x(x-16)=16(1-25x)

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Solution for 25x(x-16)=16(1-25x) equation: 


Simplifying
25x(x + -16) = 16(1 + -25x)

Reorder the terms:
25x(-16 + x) = 16(1 + -25x)
(-16 * 25x + x * 25x) = 16(1 + -25x)
(-400x + 25x2) = 16(1 + -25x)
-400x + 25x2 = (1 * 16 + -25x * 16)
-400x + 25x2 = (16 + -400x)

Add '400x' to each side of the equation.
-400x + 400x + 25x2 = 16 + -400x + 400x

Combine like terms: -400x + 400x = 0
0 + 25x2 = 16 + -400x + 400x
25x2 = 16 + -400x + 400x

Combine like terms: -400x + 400x = 0
25x2 = 16 + 0
25x2 = 16

Solving
25x2 = 16

Solving for variable 'x'.

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

Divide each side by '25'.
x2 = 0.64

Simplifying
x2 = 0.64

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

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