437.5-0.5x^2=0.2x^2

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Solution for 437.5-0.5x^2=0.2x^2 equation:


Simplifying
437.5 + -0.5x2 = 0.2x2

Solving
437.5 + -0.5x2 = 0.2x2

Solving for variable 'x'.

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

Add '-0.2x2' to each side of the equation.
437.5 + -0.5x2 + -0.2x2 = 0.2x2 + -0.2x2

Combine like terms: -0.5x2 + -0.2x2 = -0.7x2
437.5 + -0.7x2 = 0.2x2 + -0.2x2

Combine like terms: 0.2x2 + -0.2x2 = 0.0
437.5 + -0.7x2 = 0.0

Add '-437.5' to each side of the equation.
437.5 + -437.5 + -0.7x2 = 0.0 + -437.5

Combine like terms: 437.5 + -437.5 = 0.0
0.0 + -0.7x2 = 0.0 + -437.5
-0.7x2 = 0.0 + -437.5

Combine like terms: 0.0 + -437.5 = -437.5
-0.7x2 = -437.5

Divide each side by '-0.7'.
x2 = 625

Simplifying
x2 = 625

Take the square root of each side:
x = {-25, 25}

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