What are the solutions to the equation 6x^3=7x^2 ?

The solutions to the equation 6x^3=7x^2 are x=0,x= 7/6

Find the zeros of 6x^3=7x^2

The zeros of 6x^3=7x^2 are x=0,x= 7/6

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

x = 0, x = \frac{7}{6}

Decimal Notation

x = 0, x = 1.16666 \dots

Solution steps

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

Move

7 x^{2}

to the left side

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

Factor

6 x^{3} - 7 x^{2} : x^{2} (6 x - 7)

x^{2} (6 x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 6 x - 7 = 0

Solve

6 x - 7 = 0 : x = \frac{7}{6}

The solutions are

x = 0, x = \frac{7}{6}

x^{5} + 243 = 0

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

- x^{3} + 6 x^{2} - 9 x = 0

2 x^{4} = 162

0 = 4 x^{3} - 8 x

What are the solutions to the equation 6x^3=7x^2 ?
The solutions to the equation 6x^3=7x^2 are x=0,x= 7/6
Find the zeros of 6x^3=7x^2
The zeros of 6x^3=7x^2 are x=0,x= 7/6