2x(x+6)=12x+25

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Solution for 2x(x+6)=12x+25 equation: 


Simplifying
2x(x + 6) = 12x + 25

Reorder the terms:
2x(6 + x) = 12x + 25
(6 * 2x + x * 2x) = 12x + 25
(12x + 2x2) = 12x + 25

Reorder the terms:
12x + 2x2 = 25 + 12x

Add '-12x' to each side of the equation.
12x + -12x + 2x2 = 25 + 12x + -12x

Combine like terms: 12x + -12x = 0
0 + 2x2 = 25 + 12x + -12x
2x2 = 25 + 12x + -12x

Combine like terms: 12x + -12x = 0
2x2 = 25 + 0
2x2 = 25

Solving
2x2 = 25

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 12.5

Simplifying
x2 = 12.5

Take the square root of each side:
x = {-3.535533906, 3.535533906}

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