10x^2+1-[2(x^2-6)+3]=

Solution for 10x^2+1-[2(x^2-6)+3]= equation:

Simplifying
10x2 + 1 + -1[2(x2 + -6) + 3] = 0

Reorder the terms:
10x2 + 1 + -1[2(-6 + x2) + 3] = 0
10x2 + 1 + -1[(-6 * 2 + x2 * 2) + 3] = 0
10x2 + 1 + -1[(-12 + 2x2) + 3] = 0

Reorder the terms:
10x2 + 1 + -1[-12 + 3 + 2x2] = 0

Combine like terms: -12 + 3 = -9
10x2 + 1 + -1[-9 + 2x2] = 0
10x2 + 1 + [-9 * -1 + 2x2 * -1] = 0
10x2 + 1 + [9 + -2x2] = 0

Reorder the terms:
1 + 9 + 10x2 + -2x2 = 0

Combine like terms: 1 + 9 = 10
10 + 10x2 + -2x2 = 0

Combine like terms: 10x2 + -2x2 = 8x2
10 + 8x2 = 0

Solving
10 + 8x2 = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 8x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 8x2 = 0 + -10
8x2 = 0 + -10

Combine like terms: 0 + -10 = -10
8x2 = -10

Divide each side by '8'.
x2 = -1.25

Simplifying
x2 = -1.25

Reorder the terms:
1.25 + x2 = -1.25 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
1.25 + x2 = 0.00

The solution to this equation could not be determined.