Solve (8-9a)a=-40 (6-3a)(63a)

Evaluate

(8 - 9 a) a = - 40 (6 - 3 a) \times 63 a

Multiply the terms

a (8 - 9 a) = - 40 (6 - 3 a) \times 63 a

Multiply

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a (8 - 9 a) = - 2520 a (6 - 3 a)

Expand the expression

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8 a - 9 a^{2} = - 2520 a (6 - 3 a)

Expand the expression

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8 a - 9 a^{2} = - 15120 a + 7560 a^{2}

Move the expression to the left side

15128 a - 7569 a^{2} = 0

Factor the expression

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a (15128 - 7569 a) = 0

When the product of factors equals 0,at least one factor is 0

15128 - 7569 a = 0 a = 0

Solve the equation for a

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a = \frac{15128}{7569} a = 0

Solution

a_{1} = 0, a_{2} = \frac{15128}{7569}

Alternative Form

a_{1} = 0, a_{2} \approx 1.998679

Solve the quadratic equation