w*3*w+2=24

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Solution for w*3*w+2=24 equation: 


Simplifying
w * 3w + 2 = 24

Reorder the terms for easier multiplication:
3w * w + 2 = 24

Multiply w * w
3w2 + 2 = 24

Reorder the terms:
2 + 3w2 = 24

Solving
2 + 3w2 = 24

Solving for variable 'w'.

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

Add '-2' to each side of the equation.
2 + -2 + 3w2 = 24 + -2

Combine like terms: 2 + -2 = 0
0 + 3w2 = 24 + -2
3w2 = 24 + -2

Combine like terms: 24 + -2 = 22
3w2 = 22

Divide each side by '3'.
w2 = 7.333333333

Simplifying
w2 = 7.333333333

Take the square root of each side:
w = {-2.708012801, 2.708012801}

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