-7w+6=-4w^2

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Solution for -7w+6=-4w^2 equation:


Simplifying
-7w + 6 = -4w2

Reorder the terms:
6 + -7w = -4w2

Solving
6 + -7w = -4w2

Solving for variable 'w'.

Combine like terms: -4w2 + 4w2 = 0
6 + -7w + 4w2 = 0

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

Divide each side by '4'.
1.5 + -1.75w + w2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1.75w + -1.5 + w2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1.75w + w2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.75w + w2 = 0 + -1.5
-1.75w + w2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1.75w + w2 = -1.5

The w term is -1.75w.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75w + 0.765625 + w2 = -1.5 + 0.765625

Reorder the terms:
0.765625 + -1.75w + w2 = -1.5 + 0.765625

Combine like terms: -1.5 + 0.765625 = -0.734375
0.765625 + -1.75w + w2 = -0.734375

Factor a perfect square on the left side:
(w + -0.875)(w + -0.875) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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