13x^2+6-[5(x^2-4)+8]=

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Solution for 13x^2+6-[5(x^2-4)+8]= equation:


Simplifying
13x2 + 6 + -1[5(x2 + -4) + 8] = 0

Reorder the terms:
13x2 + 6 + -1[5(-4 + x2) + 8] = 0
13x2 + 6 + -1[(-4 * 5 + x2 * 5) + 8] = 0
13x2 + 6 + -1[(-20 + 5x2) + 8] = 0

Reorder the terms:
13x2 + 6 + -1[-20 + 8 + 5x2] = 0

Combine like terms: -20 + 8 = -12
13x2 + 6 + -1[-12 + 5x2] = 0
13x2 + 6 + [-12 * -1 + 5x2 * -1] = 0
13x2 + 6 + [12 + -5x2] = 0

Reorder the terms:
6 + 12 + 13x2 + -5x2 = 0

Combine like terms: 6 + 12 = 18
18 + 13x2 + -5x2 = 0

Combine like terms: 13x2 + -5x2 = 8x2
18 + 8x2 = 0

Solving
18 + 8x2 = 0

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 8x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 8x2 = 0 + -18
8x2 = 0 + -18

Combine like terms: 0 + -18 = -18
8x2 = -18

Divide each side by '8'.
x2 = -2.25

Simplifying
x2 = -2.25

Reorder the terms:
2.25 + x2 = -2.25 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
2.25 + x2 = 0.00

The solution to this equation could not be determined.

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