10x^2+3-[3(x^2-4)+6]=

Solution for 10x^2+3-[3(x^2-4)+6]= equation:

Simplifying
10x2 + 3 + -1[3(x2 + -4) + 6] = 0

Reorder the terms:
10x2 + 3 + -1[3(-4 + x2) + 6] = 0
10x2 + 3 + -1[(-4 * 3 + x2 * 3) + 6] = 0
10x2 + 3 + -1[(-12 + 3x2) + 6] = 0

Reorder the terms:
10x2 + 3 + -1[-12 + 6 + 3x2] = 0

Combine like terms: -12 + 6 = -6
10x2 + 3 + -1[-6 + 3x2] = 0
10x2 + 3 + [-6 * -1 + 3x2 * -1] = 0
10x2 + 3 + [6 + -3x2] = 0

Reorder the terms:
3 + 6 + 10x2 + -3x2 = 0

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

Combine like terms: 10x2 + -3x2 = 7x2
9 + 7x2 = 0

Solving
9 + 7x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 7x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7x2 = 0 + -9
7x2 = 0 + -9

Combine like terms: 0 + -9 = -9
7x2 = -9

Divide each side by '7'.
x2 = -1.285714286

Simplifying
x2 = -1.285714286

Reorder the terms:
1.285714286 + x2 = -1.285714286 + 1.285714286

Combine like terms: -1.285714286 + 1.285714286 = 0.000000000
1.285714286 + x2 = 0.000000000

The solution to this equation could not be determined.