324=(w)w+15

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Solution for 324=(w)w+15 equation: 


Simplifying
324 = (w) * w + 15

Multiply w * w
324 = w2 + 15

Reorder the terms:
324 = 15 + w2

Solving
324 = 15 + 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.
324 + -1w2 = 15 + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
324 + -1w2 = 15 + 0
324 + -1w2 = 15

Add '-324' to each side of the equation.
324 + -324 + -1w2 = 15 + -324

Combine like terms: 324 + -324 = 0
0 + -1w2 = 15 + -324
-1w2 = 15 + -324

Combine like terms: 15 + -324 = -309
-1w2 = -309

Divide each side by '-1'.
w2 = 309

Simplifying
w2 = 309

Take the square root of each side:
w = {-17.578395831, 17.578395831}

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