4x(2x-3)-3(3x-10)=11

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Solution for 4x(2x-3)-3(3x-10)=11 equation: 


Simplifying
4x(2x + -3) + -3(3x + -10) = 11

Reorder the terms:
4x(-3 + 2x) + -3(3x + -10) = 11
(-3 * 4x + 2x * 4x) + -3(3x + -10) = 11
(-12x + 8x2) + -3(3x + -10) = 11

Reorder the terms:
-12x + 8x2 + -3(-10 + 3x) = 11
-12x + 8x2 + (-10 * -3 + 3x * -3) = 11
-12x + 8x2 + (30 + -9x) = 11

Reorder the terms:
30 + -12x + -9x + 8x2 = 11

Combine like terms: -12x + -9x = -21x
30 + -21x + 8x2 = 11

Solving
30 + -21x + 8x2 = 11

Solving for variable 'x'.

Reorder the terms:
30 + -11 + -21x + 8x2 = 11 + -11

Combine like terms: 30 + -11 = 19
19 + -21x + 8x2 = 11 + -11

Combine like terms: 11 + -11 = 0
19 + -21x + 8x2 = 0

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

Divide each side by '8'.
2.375 + -2.625x + x2 = 0

Move the constant term to the right:

Add '-2.375' to each side of the equation.
2.375 + -2.625x + -2.375 + x2 = 0 + -2.375

Reorder the terms:
2.375 + -2.375 + -2.625x + x2 = 0 + -2.375

Combine like terms: 2.375 + -2.375 = 0.000
0.000 + -2.625x + x2 = 0 + -2.375
-2.625x + x2 = 0 + -2.375

Combine like terms: 0 + -2.375 = -2.375
-2.625x + x2 = -2.375

The x term is -2.625x.  Take half its coefficient (-1.3125).
Square it (1.72265625) and add it to both sides.

Add '1.72265625' to each side of the equation.
-2.625x + 1.72265625 + x2 = -2.375 + 1.72265625

Reorder the terms:
1.72265625 + -2.625x + x2 = -2.375 + 1.72265625

Combine like terms: -2.375 + 1.72265625 = -0.65234375
1.72265625 + -2.625x + x2 = -0.65234375

Factor a perfect square on the left side:
(x + -1.3125)(x + -1.3125) = -0.65234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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