24+4x=15-5x^2

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Solution for 24+4x=15-5x^2 equation:


Simplifying
24 + 4x = 15 + -5x2

Solving
24 + 4x = 15 + -5x2

Solving for variable 'x'.

Reorder the terms:
24 + -15 + 4x + 5x2 = 15 + -5x2 + -15 + 5x2

Combine like terms: 24 + -15 = 9
9 + 4x + 5x2 = 15 + -5x2 + -15 + 5x2

Reorder the terms:
9 + 4x + 5x2 = 15 + -15 + -5x2 + 5x2

Combine like terms: 15 + -15 = 0
9 + 4x + 5x2 = 0 + -5x2 + 5x2
9 + 4x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
9 + 4x + 5x2 = 0

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

Divide each side by '5'.
1.8 + 0.8x + x2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + 0.8x + -1.8 + x2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + 0.8x + x2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.8x + x2 = 0 + -1.8
0.8x + x2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
0.8x + x2 = -1.8

The x term is 0.8x.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8x + 0.16 + x2 = -1.8 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = -1.8 + 0.16

Combine like terms: -1.8 + 0.16 = -1.64
0.16 + 0.8x + x2 = -1.64

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = -1.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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