0=11x^2-30x+24

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Solution for 0=11x^2-30x+24 equation: 


Simplifying
0 = 11x2 + -30x + 24

Reorder the terms:
0 = 24 + -30x + 11x2

Solving
0 = 24 + -30x + 11x2

Solving for variable 'x'.

Combine like terms: 0 + -24 = -24
-24 + 30x + -11x2 = 24 + -30x + 11x2 + -24 + 30x + -11x2

Reorder the terms:
-24 + 30x + -11x2 = 24 + -24 + -30x + 30x + 11x2 + -11x2

Combine like terms: 24 + -24 = 0
-24 + 30x + -11x2 = 0 + -30x + 30x + 11x2 + -11x2
-24 + 30x + -11x2 = -30x + 30x + 11x2 + -11x2

Combine like terms: -30x + 30x = 0
-24 + 30x + -11x2 = 0 + 11x2 + -11x2
-24 + 30x + -11x2 = 11x2 + -11x2

Combine like terms: 11x2 + -11x2 = 0
-24 + 30x + -11x2 = 0

Begin completing the square.  Divide all terms by
-11 the coefficient of the squared term: 

Divide each side by '-11'.
2.181818182 + -2.727272727x + x2 = 0

Move the constant term to the right:

Add '-2.181818182' to each side of the equation.
2.181818182 + -2.727272727x + -2.181818182 + x2 = 0 + -2.181818182

Reorder the terms:
2.181818182 + -2.181818182 + -2.727272727x + x2 = 0 + -2.181818182

Combine like terms: 2.181818182 + -2.181818182 = 0.000000000
0.000000000 + -2.727272727x + x2 = 0 + -2.181818182
-2.727272727x + x2 = 0 + -2.181818182

Combine like terms: 0 + -2.181818182 = -2.181818182
-2.727272727x + x2 = -2.181818182

The x term is -2.727272727x.  Take half its coefficient (-1.363636364).
Square it (1.859504133) and add it to both sides.

Add '1.859504133' to each side of the equation.
-2.727272727x + 1.859504133 + x2 = -2.181818182 + 1.859504133

Reorder the terms:
1.859504133 + -2.727272727x + x2 = -2.181818182 + 1.859504133

Combine like terms: -2.181818182 + 1.859504133 = -0.322314049
1.859504133 + -2.727272727x + x2 = -0.322314049

Factor a perfect square on the left side:
(x + -1.363636364)(x + -1.363636364) = -0.322314049

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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