(6a^2-13)-(-15a^2-15)=0

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Solution for (6a^2-13)-(-15a^2-15)=0 equation:


Simplifying
(6a2 + -13) + -1(-15a2 + -15) = 0

Reorder the terms:
(-13 + 6a2) + -1(-15a2 + -15) = 0

Remove parenthesis around (-13 + 6a2)
-13 + 6a2 + -1(-15a2 + -15) = 0

Reorder the terms:
-13 + 6a2 + -1(-15 + -15a2) = 0
-13 + 6a2 + (-15 * -1 + -15a2 * -1) = 0
-13 + 6a2 + (15 + 15a2) = 0

Reorder the terms:
-13 + 15 + 6a2 + 15a2 = 0

Combine like terms: -13 + 15 = 2
2 + 6a2 + 15a2 = 0

Combine like terms: 6a2 + 15a2 = 21a2
2 + 21a2 = 0

Solving
2 + 21a2 = 0

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2 + 21a2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 21a2 = 0 + -2
21a2 = 0 + -2

Combine like terms: 0 + -2 = -2
21a2 = -2

Divide each side by '21'.
a2 = -0.09523809524

Simplifying
a2 = -0.09523809524

Reorder the terms:
0.09523809524 + a2 = -0.09523809524 + 0.09523809524

Combine like terms: -0.09523809524 + 0.09523809524 = 0.00000000000
0.09523809524 + a2 = 0.00000000000

The solution to this equation could not be determined.

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