0=-9x^2+5+3x-15-11x^2

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Solution for 0=-9x^2+5+3x-15-11x^2 equation:


Simplifying
0 = -9x2 + 5 + 3x + -15 + -11x2

Reorder the terms:
0 = 5 + -15 + 3x + -9x2 + -11x2

Combine like terms: 5 + -15 = -10
0 = -10 + 3x + -9x2 + -11x2

Combine like terms: -9x2 + -11x2 = -20x2
0 = -10 + 3x + -20x2

Solving
0 = -10 + 3x + -20x2

Solving for variable 'x'.

Combine like terms: 0 + 10 = 10
10 + -3x + 20x2 = -10 + 3x + -20x2 + 10 + -3x + 20x2

Reorder the terms:
10 + -3x + 20x2 = -10 + 10 + 3x + -3x + -20x2 + 20x2

Combine like terms: -10 + 10 = 0
10 + -3x + 20x2 = 0 + 3x + -3x + -20x2 + 20x2
10 + -3x + 20x2 = 3x + -3x + -20x2 + 20x2

Combine like terms: 3x + -3x = 0
10 + -3x + 20x2 = 0 + -20x2 + 20x2
10 + -3x + 20x2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
10 + -3x + 20x2 = 0

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

Divide each side by '20'.
0.5 + -0.15x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.15x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.15x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.15x + x2 = 0 + -0.5
-0.15x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.15x + x2 = -0.5

The x term is -0.15x.  Take half its coefficient (-0.075).
Square it (0.005625) and add it to both sides.

Add '0.005625' to each side of the equation.
-0.15x + 0.005625 + x2 = -0.5 + 0.005625

Reorder the terms:
0.005625 + -0.15x + x2 = -0.5 + 0.005625

Combine like terms: -0.5 + 0.005625 = -0.494375
0.005625 + -0.15x + x2 = -0.494375

Factor a perfect square on the left side:
(x + -0.075)(x + -0.075) = -0.494375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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