-7w(w-1)=-5+9

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Solution for -7w(w-1)=-5+9 equation:


Simplifying
-7w(w + -1) = -5 + 9

Reorder the terms:
-7w(-1 + w) = -5 + 9
(-1 * -7w + w * -7w) = -5 + 9
(7w + -7w2) = -5 + 9

Combine like terms: -5 + 9 = 4
7w + -7w2 = 4

Solving
7w + -7w2 = 4

Solving for variable 'w'.

Reorder the terms:
-4 + 7w + -7w2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 7w + -7w2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
0.5714285714 + -1w + w2 = 0

Move the constant term to the right:

Add '-0.5714285714' to each side of the equation.
0.5714285714 + -1w + -0.5714285714 + w2 = 0 + -0.5714285714

Reorder the terms:
0.5714285714 + -0.5714285714 + -1w + w2 = 0 + -0.5714285714

Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000
0.0000000000 + -1w + w2 = 0 + -0.5714285714
-1w + w2 = 0 + -0.5714285714

Combine like terms: 0 + -0.5714285714 = -0.5714285714
-1w + w2 = -0.5714285714

The w term is -1w.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1w + 0.25 + w2 = -0.5714285714 + 0.25

Reorder the terms:
0.25 + -1w + w2 = -0.5714285714 + 0.25

Combine like terms: -0.5714285714 + 0.25 = -0.3214285714
0.25 + -1w + w2 = -0.3214285714

Factor a perfect square on the left side:
(w + -0.5)(w + -0.5) = -0.3214285714

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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