13x^2+3-[5(x^2-4)+8]=

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Solution for 13x^2+3-[5(x^2-4)+8]= equation:


Simplifying
13x2 + 3 + -1[5(x2 + -4) + 8] = 0

Reorder the terms:
13x2 + 3 + -1[5(-4 + x2) + 8] = 0
13x2 + 3 + -1[(-4 * 5 + x2 * 5) + 8] = 0
13x2 + 3 + -1[(-20 + 5x2) + 8] = 0

Reorder the terms:
13x2 + 3 + -1[-20 + 8 + 5x2] = 0

Combine like terms: -20 + 8 = -12
13x2 + 3 + -1[-12 + 5x2] = 0
13x2 + 3 + [-12 * -1 + 5x2 * -1] = 0
13x2 + 3 + [12 + -5x2] = 0

Reorder the terms:
3 + 12 + 13x2 + -5x2 = 0

Combine like terms: 3 + 12 = 15
15 + 13x2 + -5x2 = 0

Combine like terms: 13x2 + -5x2 = 8x2
15 + 8x2 = 0

Solving
15 + 8x2 = 0

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 8x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 8x2 = 0 + -15
8x2 = 0 + -15

Combine like terms: 0 + -15 = -15
8x2 = -15

Divide each side by '8'.
x2 = -1.875

Simplifying
x2 = -1.875

Reorder the terms:
1.875 + x2 = -1.875 + 1.875

Combine like terms: -1.875 + 1.875 = 0.000
1.875 + x2 = 0.000

The solution to this equation could not be determined.

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