2(5x-11)=5x+2x(x+1)+15-6

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Solution for 2(5x-11)=5x+2x(x+1)+15-6 equation: 


Simplifying
2(5x + -11) = 5x + 2x(x + 1) + 15 + -6

Reorder the terms:
2(-11 + 5x) = 5x + 2x(x + 1) + 15 + -6
(-11 * 2 + 5x * 2) = 5x + 2x(x + 1) + 15 + -6
(-22 + 10x) = 5x + 2x(x + 1) + 15 + -6

Reorder the terms:
-22 + 10x = 5x + 2x(1 + x) + 15 + -6
-22 + 10x = 5x + (1 * 2x + x * 2x) + 15 + -6
-22 + 10x = 5x + (2x + 2x2) + 15 + -6

Reorder the terms:
-22 + 10x = 15 + -6 + 5x + 2x + 2x2

Combine like terms: 15 + -6 = 9
-22 + 10x = 9 + 5x + 2x + 2x2

Combine like terms: 5x + 2x = 7x
-22 + 10x = 9 + 7x + 2x2

Solving
-22 + 10x = 9 + 7x + 2x2

Solving for variable 'x'.

Reorder the terms:
-22 + -9 + 10x + -7x + -2x2 = 9 + 7x + 2x2 + -9 + -7x + -2x2

Combine like terms: -22 + -9 = -31
-31 + 10x + -7x + -2x2 = 9 + 7x + 2x2 + -9 + -7x + -2x2

Combine like terms: 10x + -7x = 3x
-31 + 3x + -2x2 = 9 + 7x + 2x2 + -9 + -7x + -2x2

Reorder the terms:
-31 + 3x + -2x2 = 9 + -9 + 7x + -7x + 2x2 + -2x2

Combine like terms: 9 + -9 = 0
-31 + 3x + -2x2 = 0 + 7x + -7x + 2x2 + -2x2
-31 + 3x + -2x2 = 7x + -7x + 2x2 + -2x2

Combine like terms: 7x + -7x = 0
-31 + 3x + -2x2 = 0 + 2x2 + -2x2
-31 + 3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-31 + 3x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
15.5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-15.5' to each side of the equation.
15.5 + -1.5x + -15.5 + x2 = 0 + -15.5

Reorder the terms:
15.5 + -15.5 + -1.5x + x2 = 0 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + -1.5x + x2 = 0 + -15.5
-1.5x + x2 = 0 + -15.5

Combine like terms: 0 + -15.5 = -15.5
-1.5x + x2 = -15.5

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -15.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -15.5 + 0.5625

Combine like terms: -15.5 + 0.5625 = -14.9375
0.5625 + -1.5x + x2 = -14.9375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -14.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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