5x(5x+2)=2(8+5x)

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Solution for 5x(5x+2)=2(8+5x) equation: 


Simplifying
5x(5x + 2) = 2(8 + 5x)

Reorder the terms:
5x(2 + 5x) = 2(8 + 5x)
(2 * 5x + 5x * 5x) = 2(8 + 5x)
(10x + 25x2) = 2(8 + 5x)
10x + 25x2 = (8 * 2 + 5x * 2)
10x + 25x2 = (16 + 10x)

Add '-10x' to each side of the equation.
10x + -10x + 25x2 = 16 + 10x + -10x

Combine like terms: 10x + -10x = 0
0 + 25x2 = 16 + 10x + -10x
25x2 = 16 + 10x + -10x

Combine like terms: 10x + -10x = 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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