(x-3)(2x+5)-6x(x-1)=

Solution for (x-3)(2x+5)-6x(x-1)= equation:

Simplifying
(x + -3)(2x + 5) + -6x(x + -1) = 0

Reorder the terms:
(-3 + x)(2x + 5) + -6x(x + -1) = 0

Reorder the terms:
(-3 + x)(5 + 2x) + -6x(x + -1) = 0

Multiply (-3 + x) * (5 + 2x)
(-3(5 + 2x) + x(5 + 2x)) + -6x(x + -1) = 0
((5 * -3 + 2x * -3) + x(5 + 2x)) + -6x(x + -1) = 0
((-15 + -6x) + x(5 + 2x)) + -6x(x + -1) = 0
(-15 + -6x + (5 * x + 2x * x)) + -6x(x + -1) = 0
(-15 + -6x + (5x + 2x2)) + -6x(x + -1) = 0

Combine like terms: -6x + 5x = -1x
(-15 + -1x + 2x2) + -6x(x + -1) = 0

Reorder the terms:
-15 + -1x + 2x2 + -6x(-1 + x) = 0
-15 + -1x + 2x2 + (-1 * -6x + x * -6x) = 0
-15 + -1x + 2x2 + (6x + -6x2) = 0

Reorder the terms:
-15 + -1x + 6x + 2x2 + -6x2 = 0

Combine like terms: -1x + 6x = 5x
-15 + 5x + 2x2 + -6x2 = 0

Combine like terms: 2x2 + -6x2 = -4x2
-15 + 5x + -4x2 = 0

Solving
-15 + 5x + -4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
3.75 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + -1.25x + -3.75 + x2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + -1.25x + x2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -1.25x + x2 = 0 + -3.75
-1.25x + x2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
-1.25x + x2 = -3.75

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -3.75 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -3.75 + 0.390625

Combine like terms: -3.75 + 0.390625 = -3.359375
0.390625 + -1.25x + x2 = -3.359375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -3.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.