-(3x^2+7)-(x^2-6x+3)=

Solution for -(3x^2+7)-(x^2-6x+3)= equation:

Simplifying
-1(3x2 + 7) + -1(x2 + -6x + 3) = 0

Reorder the terms:
-1(7 + 3x2) + -1(x2 + -6x + 3) = 0
(7 * -1 + 3x2 * -1) + -1(x2 + -6x + 3) = 0
(-7 + -3x2) + -1(x2 + -6x + 3) = 0

Reorder the terms:
-7 + -3x2 + -1(3 + -6x + x2) = 0
-7 + -3x2 + (3 * -1 + -6x * -1 + x2 * -1) = 0
-7 + -3x2 + (-3 + 6x + -1x2) = 0

Reorder the terms:
-7 + -3 + 6x + -3x2 + -1x2 = 0

Combine like terms: -7 + -3 = -10
-10 + 6x + -3x2 + -1x2 = 0

Combine like terms: -3x2 + -1x2 = -4x2
-10 + 6x + -4x2 = 0

Solving
-10 + 6x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 3x + -2x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + 3x + -2x2)' equal to zero and attempt to solve:

Simplifying
-5 + 3x + -2x2 = 0

Solving
-5 + 3x + -2x2 = 0

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

Divide each side by '-2'.
2.5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1.5x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1.5x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.5x + x2 = 0 + -2.5
-1.5x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1.5x + x2 = -2.5

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 = -2.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -2.5 + 0.5625

Combine like terms: -2.5 + 0.5625 = -1.9375
0.5625 + -1.5x + x2 = -1.9375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -1.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.