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Simplifying
4w2 + -12 + 5 = 0
Reorder the terms:
-12 + 5 + 4w2 = 0
Combine like terms: -12 + 5 = -7
-7 + 4w2 = 0
Solving
-7 + 4w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 4w2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 4w2 = 0 + 7
4w2 = 0 + 7
Combine like terms: 0 + 7 = 7
4w2 = 7
Divide each side by '4'.
w2 = 1.75
Simplifying
w2 = 1.75
Take the square root of each side:
w = {-1.322875656, 1.322875656}
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