2w^2+3=19

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Solution for 2w^2+3=19 equation:


Simplifying
2w2 + 3 = 19

Reorder the terms:
3 + 2w2 = 19

Solving
3 + 2w2 = 19

Solving for variable 'w'.

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

Add '-3' to each side of the equation.
3 + -3 + 2w2 = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 2w2 = 19 + -3
2w2 = 19 + -3

Combine like terms: 19 + -3 = 16
2w2 = 16

Divide each side by '2'.
w2 = 8

Simplifying
w2 = 8

Take the square root of each side:
w = {-2.828427125, 2.828427125}

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