What are the solutions to the equation 9m^2*(m-3)=16(m-3) ?

The solutions to the equation 9m^2*(m-3)=16(m-3) are m=3,m=-4/3 ,m= 4/3

Find the zeros of 9m^2*(m-3)=16(m-3)

The zeros of 9m^2*(m-3)=16(m-3) are m=3,m=-4/3 ,m= 4/3

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9 m^{2} \cdot (m - 3) = 16 (m - 3)

m = 3, m = - \frac{4}{3}, m = \frac{4}{3}

Decimal Notation

m = 3, m = - 1.33333 \dots, m = 1.33333 \dots

Solution steps

9 m^{2} (m - 3) = 16 (m - 3)

Move

16 (m - 3)

to the left side

9 m^{2} (m - 3) - 16 (m - 3) = 0

Factor

9 m^{2} (m - 3) - 16 (m - 3) : (m - 3) (3 m + 4) (3 m - 4)

(m - 3) (3 m + 4) (3 m - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m - 3 = 0 or 3 m + 4 = 0 or 3 m - 4 = 0

Solve

m - 3 = 0 : m = 3

Solve

3 m + 4 = 0 : m = - \frac{4}{3}

Solve

3 m - 4 = 0 : m = \frac{4}{3}

The solutions are

m = 3, m = - \frac{4}{3}, m = \frac{4}{3}

(8) \cdot 12 x^{4} - 56 x^{3} + 89 x^{2} - 56 x + 12 = 0

(x^{2} + 1)^{2} + x^{2} = 109

2 x^{3} + 3 x^{2} + x = 0

x^{3} = 3

x^{3} = 5

What are the solutions to the equation 9m^2*(m-3)=16(m-3) ?
The solutions to the equation 9m^2*(m-3)=16(m-3) are m=3,m=-4/3 ,m= 4/3
Find the zeros of 9m^2*(m-3)=16(m-3)
The zeros of 9m^2*(m-3)=16(m-3) are m=3,m=-4/3 ,m= 4/3