4x+9-x^2=72

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Solution for 4x+9-x^2=72 equation:


Simplifying
4x + 9 + -1x2 = 72

Reorder the terms:
9 + 4x + -1x2 = 72

Solving
9 + 4x + -1x2 = 72

Solving for variable 'x'.

Reorder the terms:
9 + -72 + 4x + -1x2 = 72 + -72

Combine like terms: 9 + -72 = -63
-63 + 4x + -1x2 = 72 + -72

Combine like terms: 72 + -72 = 0
-63 + 4x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
63 + -4x + x2 = 0

Move the constant term to the right:

Add '-63' to each side of the equation.
63 + -4x + -63 + x2 = 0 + -63

Reorder the terms:
63 + -63 + -4x + x2 = 0 + -63

Combine like terms: 63 + -63 = 0
0 + -4x + x2 = 0 + -63
-4x + x2 = 0 + -63

Combine like terms: 0 + -63 = -63
-4x + x2 = -63

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 = -63 + 4

Reorder the terms:
4 + -4x + x2 = -63 + 4

Combine like terms: -63 + 4 = -59
4 + -4x + x2 = -59

Factor a perfect square on the left side:
(x + -2)(x + -2) = -59

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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