50x^2-20=25x^2-10

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Solution for 50x^2-20=25x^2-10 equation:


Simplifying
50x2 + -20 = 25x2 + -10

Reorder the terms:
-20 + 50x2 = 25x2 + -10

Reorder the terms:
-20 + 50x2 = -10 + 25x2

Solving
-20 + 50x2 = -10 + 25x2

Solving for variable 'x'.

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

Add '-25x2' to each side of the equation.
-20 + 50x2 + -25x2 = -10 + 25x2 + -25x2

Combine like terms: 50x2 + -25x2 = 25x2
-20 + 25x2 = -10 + 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-20 + 25x2 = -10 + 0
-20 + 25x2 = -10

Add '20' to each side of the equation.
-20 + 20 + 25x2 = -10 + 20

Combine like terms: -20 + 20 = 0
0 + 25x2 = -10 + 20
25x2 = -10 + 20

Combine like terms: -10 + 20 = 10
25x2 = 10

Divide each side by '25'.
x2 = 0.4

Simplifying
x2 = 0.4

Take the square root of each side:
x = {-0.632455532, 0.632455532}

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