218=-7+w^2

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Solution for 218=-7+w^2 equation:


Simplifying
218 = -7 + w2

Solving
218 = -7 + w2

Solving for variable 'w'.

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

Add '-1w2' to each side of the equation.
218 + -1w2 = -7 + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
218 + -1w2 = -7 + 0
218 + -1w2 = -7

Add '-218' to each side of the equation.
218 + -218 + -1w2 = -7 + -218

Combine like terms: 218 + -218 = 0
0 + -1w2 = -7 + -218
-1w2 = -7 + -218

Combine like terms: -7 + -218 = -225
-1w2 = -225

Divide each side by '-1'.
w2 = 225

Simplifying
w2 = 225

Take the square root of each side:
w = {-15, 15}

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