What is the answer to (8-9a)a=-40+(6-3a)(6+3a) ?

The answer to (8-9a)a=-40+(6-3a)(6+3a) is a=-1/2

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(8-9a)a=-40+(6-3a)(6+3a)

(8 - 9 a) a = - 40 + (6 - 3 a) (6 + 3 a)

a = - \frac{1}{2}

Decimal Notation

a = - 0.5

Solution steps

(8 - 9 a) a = - 40 + (6 - 3 a) (6 + 3 a)

Expand

(8 - 9 a) a : 8 a - 9 a^{2}

Expand

- 40 + (6 - 3 a) (6 + 3 a) : - 9 a^{2} - 4

8 a - 9 a^{2} = - 9 a^{2} - 4

Move

9 a^{2}

to the left side

8 a = - 4

Divide both sides by

8

a = - \frac{1}{2}

2 (- 4)

5 a - ab

\frac{3 6}{2}

∣ 4 x + 9 ∣ > - 6

13 c d^{3} + 39 c^{2} d^{2}

What is the answer to (8-9a)a=-40+(6-3a)(6+3a) ?
The answer to (8-9a)a=-40+(6-3a)(6+3a) is a=-1/2
Solve for a: (8-9a)a=-40+(6-3a)(6+3a)
The solution is a=-1/2