2x(x+2)=4x-2x^2+25

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Solution for 2x(x+2)=4x-2x^2+25 equation: 


Simplifying
2x(x + 2) = 4x + -2x2 + 25

Reorder the terms:
2x(2 + x) = 4x + -2x2 + 25
(2 * 2x + x * 2x) = 4x + -2x2 + 25
(4x + 2x2) = 4x + -2x2 + 25

Reorder the terms:
4x + 2x2 = 25 + 4x + -2x2

Add '-4x' to each side of the equation.
4x + -4x + 2x2 = 25 + 4x + -4x + -2x2

Combine like terms: 4x + -4x = 0
0 + 2x2 = 25 + 4x + -4x + -2x2
2x2 = 25 + 4x + -4x + -2x2

Combine like terms: 4x + -4x = 0
2x2 = 25 + 0 + -2x2
2x2 = 25 + -2x2

Solving
2x2 = 25 + -2x2

Solving for variable 'x'.

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

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

Combine like terms: 2x2 + 2x2 = 4x2
4x2 = 25 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
4x2 = 25 + 0
4x2 = 25

Divide each side by '4'.
x2 = 6.25

Simplifying
x2 = 6.25

Take the square root of each side:
x = {-2.5, 2.5}

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