6a^2-[-5a-(9a^2-3a)]-[8+(19a-8)]=

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Solution for 6a^2-[-5a-(9a^2-3a)]-[8+(19a-8)]= equation: 


Simplifying
6a2 + -1[-5a + -1(9a2 + -3a)] + -1[8 + (19a + -8)] = 0

Reorder the terms:
6a2 + -1[-5a + -1(-3a + 9a2)] + -1[8 + (19a + -8)] = 0
6a2 + -1[-5a + (-3a * -1 + 9a2 * -1)] + -1[8 + (19a + -8)] = 0
6a2 + -1[-5a + (3a + -9a2)] + -1[8 + (19a + -8)] = 0

Combine like terms: -5a + 3a = -2a
6a2 + -1[-2a + -9a2] + -1[8 + (19a + -8)] = 0
6a2 + [-2a * -1 + -9a2 * -1] + -1[8 + (19a + -8)] = 0
6a2 + [2a + 9a2] + -1[8 + (19a + -8)] = 0

Reorder the terms:
6a2 + 2a + 9a2 + -1[8 + (-8 + 19a)] = 0

Remove parenthesis around (-8 + 19a)
6a2 + 2a + 9a2 + -1[8 + -8 + 19a] = 0

Combine like terms: 8 + -8 = 0
6a2 + 2a + 9a2 + -1[0 + 19a] = 0
6a2 + 2a + 9a2 + -1[19a] = 0

Remove brackets around [19a]
6a2 + 2a + 9a2 + -1 * 19a = 0

Multiply -1 * 19
6a2 + 2a + 9a2 + -19a = 0

Reorder the terms:
2a + -19a + 6a2 + 9a2 = 0

Combine like terms: 2a + -19a = -17a
-17a + 6a2 + 9a2 = 0

Combine like terms: 6a2 + 9a2 = 15a2
-17a + 15a2 = 0

Solving
-17a + 15a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-17 + 15a) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(-17 + 15a)' equal to zero and attempt to solve:

Simplifying
-17 + 15a = 0

Solving
-17 + 15a = 0

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

Add '17' to each side of the equation.
-17 + 17 + 15a = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 15a = 0 + 17
15a = 0 + 17

Combine like terms: 0 + 17 = 17
15a = 17

Divide each side by '15'.
a = 1.133333333

Simplifying
a = 1.133333333
Solution
a = {0, 1.133333333}

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