What are the solutions to the equation 9x^3=7x^2 ?

The solutions to the equation 9x^3=7x^2 are x=0,x= 7/9

Find the zeros of 9x^3=7x^2

The zeros of 9x^3=7x^2 are x=0,x= 7/9

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9 x^{3} = 7 x^{2}

x = 0, x = \frac{7}{9}

Decimal Notation

x = 0, x = 0.77777 \dots

Solution steps

9 x^{3} = 7 x^{2}

Move

7 x^{2}

to the left side

9 x^{3} - 7 x^{2} = 0

Factor

9 x^{3} - 7 x^{2} : x^{2} (9 x - 7)

x^{2} (9 x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 9 x - 7 = 0

Solve

9 x - 7 = 0 : x = \frac{7}{9}

The solutions are

x = 0, x = \frac{7}{9}

x^{3} + 2 x - 5 = 0

(y^{2} - 8)^{2} + 4 (y^{2} - 8) - 5 = 0

2 x^{3} - x^{2} - 7 x - 3 = 0

5 x^{3} - 3 x + 1 = 0

x^{3} + 10 x^{2} - 1625 + 18750 = 0

What are the solutions to the equation 9x^3=7x^2 ?
The solutions to the equation 9x^3=7x^2 are x=0,x= 7/9
Find the zeros of 9x^3=7x^2
The zeros of 9x^3=7x^2 are x=0,x= 7/9