2(300-x^2)=(50-2x)x

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Solution for 2(300-x^2)=(50-2x)x equation: 


Simplifying
2(300 + -1x2) = (50 + -2x) * x
(300 * 2 + -1x2 * 2) = (50 + -2x) * x
(600 + -2x2) = (50 + -2x) * x

Reorder the terms for easier multiplication:
600 + -2x2 = x(50 + -2x)
600 + -2x2 = (50 * x + -2x * x)
600 + -2x2 = (50x + -2x2)

Add '2x2' to each side of the equation.
600 + -2x2 + 2x2 = 50x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
600 + 0 = 50x + -2x2 + 2x2
600 = 50x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
600 = 50x + 0
600 = 50x

Solving
600 = 50x

Solving for variable 'x'.

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

Add '-50x' to each side of the equation.
600 + -50x = 50x + -50x

Combine like terms: 50x + -50x = 0
600 + -50x = 0

Add '-600' to each side of the equation.
600 + -600 + -50x = 0 + -600

Combine like terms: 600 + -600 = 0
0 + -50x = 0 + -600
-50x = 0 + -600

Combine like terms: 0 + -600 = -600
-50x = -600

Divide each side by '-50'.
x = 12

Simplifying
x = 12

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