0=-2x^2+16x-35

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Solution for 0=-2x^2+16x-35 equation:


Simplifying
0 = -2x2 + 16x + -35

Reorder the terms:
0 = -35 + 16x + -2x2

Solving
0 = -35 + 16x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 35 = 35
35 + -16x + 2x2 = -35 + 16x + -2x2 + 35 + -16x + 2x2

Reorder the terms:
35 + -16x + 2x2 = -35 + 35 + 16x + -16x + -2x2 + 2x2

Combine like terms: -35 + 35 = 0
35 + -16x + 2x2 = 0 + 16x + -16x + -2x2 + 2x2
35 + -16x + 2x2 = 16x + -16x + -2x2 + 2x2

Combine like terms: 16x + -16x = 0
35 + -16x + 2x2 = 0 + -2x2 + 2x2
35 + -16x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
35 + -16x + 2x2 = 0

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

Divide each side by '2'.
17.5 + -8x + x2 = 0

Move the constant term to the right:

Add '-17.5' to each side of the equation.
17.5 + -8x + -17.5 + x2 = 0 + -17.5

Reorder the terms:
17.5 + -17.5 + -8x + x2 = 0 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -8x + x2 = 0 + -17.5
-8x + x2 = 0 + -17.5

Combine like terms: 0 + -17.5 = -17.5
-8x + x2 = -17.5

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -17.5 + 16

Reorder the terms:
16 + -8x + x2 = -17.5 + 16

Combine like terms: -17.5 + 16 = -1.5
16 + -8x + x2 = -1.5

Factor a perfect square on the left side:
(x + -4)(x + -4) = -1.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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