3w(5w-3)=-10+6

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Solution for 3w(5w-3)=-10+6 equation: 


Simplifying
3w(5w + -3) = -10 + 6

Reorder the terms:
3w(-3 + 5w) = -10 + 6
(-3 * 3w + 5w * 3w) = -10 + 6
(-9w + 15w2) = -10 + 6

Combine like terms: -10 + 6 = -4
-9w + 15w2 = -4

Solving
-9w + 15w2 = -4

Solving for variable 'w'.

Reorder the terms:
4 + -9w + 15w2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -9w + 15w2 = 0

Begin completing the square.  Divide all terms by
15 the coefficient of the squared term: 

Divide each side by '15'.
0.2666666667 + -0.6w + w2 = 0

Move the constant term to the right:

Add '-0.2666666667' to each side of the equation.
0.2666666667 + -0.6w + -0.2666666667 + w2 = 0 + -0.2666666667

Reorder the terms:
0.2666666667 + -0.2666666667 + -0.6w + w2 = 0 + -0.2666666667

Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000
0.0000000000 + -0.6w + w2 = 0 + -0.2666666667
-0.6w + w2 = 0 + -0.2666666667

Combine like terms: 0 + -0.2666666667 = -0.2666666667
-0.6w + w2 = -0.2666666667

The w term is -0.6w.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6w + 0.09 + w2 = -0.2666666667 + 0.09

Reorder the terms:
0.09 + -0.6w + w2 = -0.2666666667 + 0.09

Combine like terms: -0.2666666667 + 0.09 = -0.1766666667
0.09 + -0.6w + w2 = -0.1766666667

Factor a perfect square on the left side:
(w + -0.3)(w + -0.3) = -0.1766666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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