(-10x+24)x+-2x(5x+9)-5=

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Solution for (-10x+24)x+-2x(5x+9)-5= equation: 


Simplifying
(-10x + 24) * x + -2x(5x + 9) + -5 = 0

Reorder the terms:
(24 + -10x) * x + -2x(5x + 9) + -5 = 0

Reorder the terms for easier multiplication:
x(24 + -10x) + -2x(5x + 9) + -5 = 0
(24 * x + -10x * x) + -2x(5x + 9) + -5 = 0
(24x + -10x2) + -2x(5x + 9) + -5 = 0

Reorder the terms:
24x + -10x2 + -2x(9 + 5x) + -5 = 0
24x + -10x2 + (9 * -2x + 5x * -2x) + -5 = 0
24x + -10x2 + (-18x + -10x2) + -5 = 0

Reorder the terms:
-5 + 24x + -18x + -10x2 + -10x2 = 0

Combine like terms: 24x + -18x = 6x
-5 + 6x + -10x2 + -10x2 = 0

Combine like terms: -10x2 + -10x2 = -20x2
-5 + 6x + -20x2 = 0

Solving
-5 + 6x + -20x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-20 the coefficient of the squared term: 

Divide each side by '-20'.
0.25 + -0.3x + x2 = 0.0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.3x + -0.25 + x2 = 0.0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.3x + x2 = 0.0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.3x + x2 = 0.0 + -0.25
-0.3x + x2 = 0.0 + -0.25

Combine like terms: 0.0 + -0.25 = -0.25
-0.3x + x2 = -0.25

The x term is -0.3x.  Take half its coefficient (-0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
-0.3x + 0.0225 + x2 = -0.25 + 0.0225

Reorder the terms:
0.0225 + -0.3x + x2 = -0.25 + 0.0225

Combine like terms: -0.25 + 0.0225 = -0.2275
0.0225 + -0.3x + x2 = -0.2275

Factor a perfect square on the left side:
(x + -0.15)(x + -0.15) = -0.2275

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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