13x^2+5-[5(x^2-6)+6]=0

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Solution for 13x^2+5-[5(x^2-6)+6]=0 equation:


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

Reorder the terms:
13x2 + 5 + -1[5(-6 + x2) + 6] = 0
13x2 + 5 + -1[(-6 * 5 + x2 * 5) + 6] = 0
13x2 + 5 + -1[(-30 + 5x2) + 6] = 0

Reorder the terms:
13x2 + 5 + -1[-30 + 6 + 5x2] = 0

Combine like terms: -30 + 6 = -24
13x2 + 5 + -1[-24 + 5x2] = 0
13x2 + 5 + [-24 * -1 + 5x2 * -1] = 0
13x2 + 5 + [24 + -5x2] = 0

Reorder the terms:
5 + 24 + 13x2 + -5x2 = 0

Combine like terms: 5 + 24 = 29
29 + 13x2 + -5x2 = 0

Combine like terms: 13x2 + -5x2 = 8x2
29 + 8x2 = 0

Solving
29 + 8x2 = 0

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 8x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 8x2 = 0 + -29
8x2 = 0 + -29

Combine like terms: 0 + -29 = -29
8x2 = -29

Divide each side by '8'.
x2 = -3.625

Simplifying
x2 = -3.625

Reorder the terms:
3.625 + x2 = -3.625 + 3.625

Combine like terms: -3.625 + 3.625 = 0.000
3.625 + x2 = 0.000

The solution to this equation could not be determined.

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