192=2w^2+62

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Solution for 192=2w^2+62 equation: 


Simplifying
192 = 2w2 + 62

Reorder the terms:
192 = 62 + 2w2

Solving
192 = 62 + 2w2

Solving for variable 'w'.

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

Add '-2w2' to each side of the equation.
192 + -2w2 = 62 + 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
192 + -2w2 = 62 + 0
192 + -2w2 = 62

Add '-192' to each side of the equation.
192 + -192 + -2w2 = 62 + -192

Combine like terms: 192 + -192 = 0
0 + -2w2 = 62 + -192
-2w2 = 62 + -192

Combine like terms: 62 + -192 = -130
-2w2 = -130

Divide each side by '-2'.
w2 = 65

Simplifying
w2 = 65

Take the square root of each side:
w = {-8.062257748, 8.062257748}

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