2x^2-5w-114=0

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Solution for 2x^2-5w-114=0 equation:


Simplifying
2x2 + -5w + -114 = 0

Reorder the terms:
-114 + -5w + 2x2 = 0

Solving
-114 + -5w + 2x2 = 0

Solving for variable 'w'.

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

Add '114' to each side of the equation.
-114 + -5w + 114 + 2x2 = 0 + 114

Reorder the terms:
-114 + 114 + -5w + 2x2 = 0 + 114

Combine like terms: -114 + 114 = 0
0 + -5w + 2x2 = 0 + 114
-5w + 2x2 = 0 + 114

Combine like terms: 0 + 114 = 114
-5w + 2x2 = 114

Add '-2x2' to each side of the equation.
-5w + 2x2 + -2x2 = 114 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5w + 0 = 114 + -2x2
-5w = 114 + -2x2

Divide each side by '-5'.
w = -22.8 + 0.4x2

Simplifying
w = -22.8 + 0.4x2

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