13x^2+1-[7(x^2-8)+5]=

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Solution for 13x^2+1-[7(x^2-8)+5]= equation:


Simplifying
13x2 + 1 + -1[7(x2 + -8) + 5] = 0

Reorder the terms:
13x2 + 1 + -1[7(-8 + x2) + 5] = 0
13x2 + 1 + -1[(-8 * 7 + x2 * 7) + 5] = 0
13x2 + 1 + -1[(-56 + 7x2) + 5] = 0

Reorder the terms:
13x2 + 1 + -1[-56 + 5 + 7x2] = 0

Combine like terms: -56 + 5 = -51
13x2 + 1 + -1[-51 + 7x2] = 0
13x2 + 1 + [-51 * -1 + 7x2 * -1] = 0
13x2 + 1 + [51 + -7x2] = 0

Reorder the terms:
1 + 51 + 13x2 + -7x2 = 0

Combine like terms: 1 + 51 = 52
52 + 13x2 + -7x2 = 0

Combine like terms: 13x2 + -7x2 = 6x2
52 + 6x2 = 0

Solving
52 + 6x2 = 0

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 6x2 = 0 + -52

Combine like terms: 52 + -52 = 0
0 + 6x2 = 0 + -52
6x2 = 0 + -52

Combine like terms: 0 + -52 = -52
6x2 = -52

Divide each side by '6'.
x2 = -8.666666667

Simplifying
x2 = -8.666666667

Reorder the terms:
8.666666667 + x2 = -8.666666667 + 8.666666667

Combine like terms: -8.666666667 + 8.666666667 = 0.000000000
8.666666667 + x2 = 0.000000000

The solution to this equation could not be determined.

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