9a^2+7a+5=-a+6a^2

Solution for 9a^2+7a+5=-a+6a^2 equation:

Simplifying
9a2 + 7a + 5 = -1a + 6a2

Reorder the terms:
5 + 7a + 9a2 = -1a + 6a2

Solving
5 + 7a + 9a2 = -1a + 6a2

Solving for variable 'a'.

Reorder the terms:
5 + 7a + a + 9a2 + -6a2 = -1a + 6a2 + a + -6a2

Combine like terms: 7a + a = 8a
5 + 8a + 9a2 + -6a2 = -1a + 6a2 + a + -6a2

Combine like terms: 9a2 + -6a2 = 3a2
5 + 8a + 3a2 = -1a + 6a2 + a + -6a2

Reorder the terms:
5 + 8a + 3a2 = -1a + a + 6a2 + -6a2

Combine like terms: -1a + a = 0
5 + 8a + 3a2 = 0 + 6a2 + -6a2
5 + 8a + 3a2 = 6a2 + -6a2

Combine like terms: 6a2 + -6a2 = 0
5 + 8a + 3a2 = 0

Factor a trinomial.
(5 + 3a)(1 + a) = 0

Subproblem 1
Set the factor '(5 + 3a)' equal to zero and attempt to solve:

Simplifying
5 + 3a = 0

Solving
5 + 3a = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3a = 0 + -5
3a = 0 + -5

Combine like terms: 0 + -5 = -5
3a = -5

Divide each side by '3'.
a = -1.666666667

Simplifying
a = -1.666666667
Subproblem 2
Set the factor '(1 + a)' equal to zero and attempt to solve:

Simplifying
1 + a = 0

Solving
1 + a = 0

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

Add '-1' to each side of the equation.
1 + -1 + a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + a = 0 + -1
a = 0 + -1

Combine like terms: 0 + -1 = -1
a = -1

Simplifying
a = -1
Solution
a = {-1.666666667, -1}