4x^2-2x+25=10

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Solution for 4x^2-2x+25=10 equation:


Simplifying
4x2 + -2x + 25 = 10

Reorder the terms:
25 + -2x + 4x2 = 10

Solving
25 + -2x + 4x2 = 10

Solving for variable 'x'.

Reorder the terms:
25 + -10 + -2x + 4x2 = 10 + -10

Combine like terms: 25 + -10 = 15
15 + -2x + 4x2 = 10 + -10

Combine like terms: 10 + -10 = 0
15 + -2x + 4x2 = 0

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

Divide each side by '4'.
3.75 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + -0.5x + -3.75 + x2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + -0.5x + x2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -0.5x + x2 = 0 + -3.75
-0.5x + x2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
-0.5x + x2 = -3.75

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -3.75 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -3.75 + 0.0625

Combine like terms: -3.75 + 0.0625 = -3.6875
0.0625 + -0.5x + x2 = -3.6875

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -3.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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