5x(9x-5)=-3(8)

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Solution for 5x(9x-5)=-3(8) equation: 


Simplifying
5x(9x + -5) = -3(8)

Reorder the terms:
5x(-5 + 9x) = -3(8)
(-5 * 5x + 9x * 5x) = -3(8)
(-25x + 45x2) = -3(8)

Multiply -3 * 8
-25x + 45x2 = -24

Solving
-25x + 45x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + -25x + 45x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -25x + 45x2 = 0

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

Divide each side by '45'.
0.5333333333 + -0.5555555556x + x2 = 0

Move the constant term to the right:

Add '-0.5333333333' to each side of the equation.
0.5333333333 + -0.5555555556x + -0.5333333333 + x2 = 0 + -0.5333333333

Reorder the terms:
0.5333333333 + -0.5333333333 + -0.5555555556x + x2 = 0 + -0.5333333333

Combine like terms: 0.5333333333 + -0.5333333333 = 0.0000000000
0.0000000000 + -0.5555555556x + x2 = 0 + -0.5333333333
-0.5555555556x + x2 = 0 + -0.5333333333

Combine like terms: 0 + -0.5333333333 = -0.5333333333
-0.5555555556x + x2 = -0.5333333333

The x term is -0.5555555556x.  Take half its coefficient (-0.2777777778).
Square it (0.07716049384) and add it to both sides.

Add '0.07716049384' to each side of the equation.
-0.5555555556x + 0.07716049384 + x2 = -0.5333333333 + 0.07716049384

Reorder the terms:
0.07716049384 + -0.5555555556x + x2 = -0.5333333333 + 0.07716049384

Combine like terms: -0.5333333333 + 0.07716049384 = -0.45617283946
0.07716049384 + -0.5555555556x + x2 = -0.45617283946

Factor a perfect square on the left side:
(x + -0.2777777778)(x + -0.2777777778) = -0.45617283946

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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