(8x-9)-(10x^2+x-3)=

Solution for (8x-9)-(10x^2+x-3)= equation:

Simplifying
(8x + -9) + -1(10x2 + x + -3) = 0

Reorder the terms:
(-9 + 8x) + -1(10x2 + x + -3) = 0

Remove parenthesis around (-9 + 8x)
-9 + 8x + -1(10x2 + x + -3) = 0

Reorder the terms:
-9 + 8x + -1(-3 + x + 10x2) = 0
-9 + 8x + (-3 * -1 + x * -1 + 10x2 * -1) = 0
-9 + 8x + (3 + -1x + -10x2) = 0

Reorder the terms:
-9 + 3 + 8x + -1x + -10x2 = 0

Combine like terms: -9 + 3 = -6
-6 + 8x + -1x + -10x2 = 0

Combine like terms: 8x + -1x = 7x
-6 + 7x + -10x2 = 0

Solving
-6 + 7x + -10x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.6 + -0.7x + x2 = 0.0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.7x + -0.6 + x2 = 0.0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.7x + x2 = 0.0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.7x + x2 = 0.0 + -0.6
-0.7x + x2 = 0.0 + -0.6

Combine like terms: 0.0 + -0.6 = -0.6
-0.7x + x2 = -0.6

The x term is -0.7x.  Take half its coefficient (-0.35).
Square it (0.1225) and add it to both sides.

Add '0.1225' to each side of the equation.
-0.7x + 0.1225 + x2 = -0.6 + 0.1225

Reorder the terms:
0.1225 + -0.7x + x2 = -0.6 + 0.1225

Combine like terms: -0.6 + 0.1225 = -0.4775
0.1225 + -0.7x + x2 = -0.4775

Factor a perfect square on the left side:
(x + -0.35)(x + -0.35) = -0.4775

Can't calculate square root of the right side.

The solution to this equation could not be determined.