4x^2-8x=-175

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Solution for 4x^2-8x=-175 equation:


Simplifying
4x2 + -8x = -175

Reorder the terms:
-8x + 4x2 = -175

Solving
-8x + 4x2 = -175

Solving for variable 'x'.

Reorder the terms:
175 + -8x + 4x2 = -175 + 175

Combine like terms: -175 + 175 = 0
175 + -8x + 4x2 = 0

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

Divide each side by '4'.
43.75 + -2x + x2 = 0

Move the constant term to the right:

Add '-43.75' to each side of the equation.
43.75 + -2x + -43.75 + x2 = 0 + -43.75

Reorder the terms:
43.75 + -43.75 + -2x + x2 = 0 + -43.75

Combine like terms: 43.75 + -43.75 = 0.00
0.00 + -2x + x2 = 0 + -43.75
-2x + x2 = 0 + -43.75

Combine like terms: 0 + -43.75 = -43.75
-2x + x2 = -43.75

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -43.75 + 1

Reorder the terms:
1 + -2x + x2 = -43.75 + 1

Combine like terms: -43.75 + 1 = -42.75
1 + -2x + x2 = -42.75

Factor a perfect square on the left side:
(x + -1)(x + -1) = -42.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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