-7w(w-2)=5(3-w)

Solution for -7w(w-2)=5(3-w) equation:

Simplifying
-7w(w + -2) = 5(3 + -1w)

Reorder the terms:
-7w(-2 + w) = 5(3 + -1w)
(-2 * -7w + w * -7w) = 5(3 + -1w)
(14w + -7w2) = 5(3 + -1w)
14w + -7w2 = (3 * 5 + -1w * 5)
14w + -7w2 = (15 + -5w)

Solving
14w + -7w2 = 15 + -5w

Solving for variable 'w'.

Reorder the terms:
-15 + 14w + 5w + -7w2 = 15 + -5w + -15 + 5w

Combine like terms: 14w + 5w = 19w
-15 + 19w + -7w2 = 15 + -5w + -15 + 5w

Reorder the terms:
-15 + 19w + -7w2 = 15 + -15 + -5w + 5w

Combine like terms: 15 + -15 = 0
-15 + 19w + -7w2 = 0 + -5w + 5w
-15 + 19w + -7w2 = -5w + 5w

Combine like terms: -5w + 5w = 0
-15 + 19w + -7w2 = 0

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

Divide each side by '-7'.
2.142857143 + -2.714285714w + w2 = 0

Move the constant term to the right:

Add '-2.142857143' to each side of the equation.
2.142857143 + -2.714285714w + -2.142857143 + w2 = 0 + -2.142857143

Reorder the terms:
2.142857143 + -2.142857143 + -2.714285714w + w2 = 0 + -2.142857143

Combine like terms: 2.142857143 + -2.142857143 = 0.000000000
0.000000000 + -2.714285714w + w2 = 0 + -2.142857143
-2.714285714w + w2 = 0 + -2.142857143

Combine like terms: 0 + -2.142857143 = -2.142857143
-2.714285714w + w2 = -2.142857143

The w term is -2.714285714w.  Take half its coefficient (-1.357142857).
Square it (1.841836734) and add it to both sides.

Add '1.841836734' to each side of the equation.
-2.714285714w + 1.841836734 + w2 = -2.142857143 + 1.841836734

Reorder the terms:
1.841836734 + -2.714285714w + w2 = -2.142857143 + 1.841836734

Combine like terms: -2.142857143 + 1.841836734 = -0.301020409
1.841836734 + -2.714285714w + w2 = -0.301020409

Factor a perfect square on the left side:
(w + -1.357142857)(w + -1.357142857) = -0.301020409

Can't calculate square root of the right side.

The solution to this equation could not be determined.