4+x(5-x)=18

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Solution for 4+x(5-x)=18 equation:


Simplifying
4 + x(5 + -1x) = 18
4 + (5 * x + -1x * x) = 18
4 + (5x + -1x2) = 18

Solving
4 + 5x + -1x2 = 18

Solving for variable 'x'.

Reorder the terms:
4 + -18 + 5x + -1x2 = 18 + -18

Combine like terms: 4 + -18 = -14
-14 + 5x + -1x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-14 + 5x + -1x2 = 0

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

Divide each side by '-1'.
14 + -5x + x2 = 0

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -5x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -5x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5x + x2 = 0 + -14
-5x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-5x + x2 = -14

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -14 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -14 + 6.25

Combine like terms: -14 + 6.25 = -7.75
6.25 + -5x + x2 = -7.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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