9x+48=-2x(x-2)

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Solution for 9x+48=-2x(x-2) equation: 


Simplifying
9x + 48 = -2x(x + -2)

Reorder the terms:
48 + 9x = -2x(x + -2)

Reorder the terms:
48 + 9x = -2x(-2 + x)
48 + 9x = (-2 * -2x + x * -2x)
48 + 9x = (4x + -2x2)

Solving
48 + 9x = 4x + -2x2

Solving for variable 'x'.

Combine like terms: 9x + -4x = 5x
48 + 5x + 2x2 = 4x + -2x2 + -4x + 2x2

Reorder the terms:
48 + 5x + 2x2 = 4x + -4x + -2x2 + 2x2

Combine like terms: 4x + -4x = 0
48 + 5x + 2x2 = 0 + -2x2 + 2x2
48 + 5x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
48 + 5x + 2x2 = 0

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

Divide each side by '2'.
24 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + 2.5x + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + 2.5x + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 2.5x + x2 = 0 + -24
2.5x + x2 = 0 + -24

Combine like terms: 0 + -24 = -24
2.5x + x2 = -24

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 = -24 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -24 + 1.5625

Combine like terms: -24 + 1.5625 = -22.4375
1.5625 + 2.5x + x2 = -22.4375

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -22.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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