4w^2-36=30

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Solution for 4w^2-36=30 equation:


Simplifying
4w2 + -36 = 30

Reorder the terms:
-36 + 4w2 = 30

Solving
-36 + 4w2 = 30

Solving for variable 'w'.

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

Add '36' to each side of the equation.
-36 + 36 + 4w2 = 30 + 36

Combine like terms: -36 + 36 = 0
0 + 4w2 = 30 + 36
4w2 = 30 + 36

Combine like terms: 30 + 36 = 66
4w2 = 66

Divide each side by '4'.
w2 = 16.5

Simplifying
w2 = 16.5

Take the square root of each side:
w = {-4.062019202, 4.062019202}

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