4x^2+25=16x

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Solution for 4x^2+25=16x equation:


Simplifying
4x2 + 25 = 16x

Reorder the terms:
25 + 4x2 = 16x

Solving
25 + 4x2 = 16x

Solving for variable 'x'.

Reorder the terms:
25 + -16x + 4x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
25 + -16x + 4x2 = 0

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

Divide each side by '4'.
6.25 + -4x + x2 = 0

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + -4x + -6.25 + x2 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + -4x + x2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -4x + x2 = 0 + -6.25
-4x + x2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
-4x + x2 = -6.25

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -6.25 + 4

Reorder the terms:
4 + -4x + x2 = -6.25 + 4

Combine like terms: -6.25 + 4 = -2.25
4 + -4x + x2 = -2.25

Factor a perfect square on the left side:
(x + -2)(x + -2) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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