54=2+x(5-2x)

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Solution for 54=2+x(5-2x) equation: 


Simplifying
54 = 2 + x(5 + -2x)
54 = 2 + (5 * x + -2x * x)
54 = 2 + (5x + -2x2)

Solving
54 = 2 + 5x + -2x2

Solving for variable 'x'.

Combine like terms: 54 + -2 = 52
52 + -5x + 2x2 = 2 + 5x + -2x2 + -2 + -5x + 2x2

Reorder the terms:
52 + -5x + 2x2 = 2 + -2 + 5x + -5x + -2x2 + 2x2

Combine like terms: 2 + -2 = 0
52 + -5x + 2x2 = 0 + 5x + -5x + -2x2 + 2x2
52 + -5x + 2x2 = 5x + -5x + -2x2 + 2x2

Combine like terms: 5x + -5x = 0
52 + -5x + 2x2 = 0 + -2x2 + 2x2
52 + -5x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
52 + -5x + 2x2 = 0

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

Divide each side by '2'.
26 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + -2.5x + -26 + x2 = 0 + -26

Reorder the terms:
26 + -26 + -2.5x + x2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -2.5x + x2 = 0 + -26
-2.5x + x2 = 0 + -26

Combine like terms: 0 + -26 = -26
-2.5x + x2 = -26

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -26 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -26 + 1.5625

Combine like terms: -26 + 1.5625 = -24.4375
1.5625 + -2.5x + x2 = -24.4375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -24.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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