What are the solutions to the equation 3c^3+15c^2-18c=0 ?

The solutions to the equation 3c^3+15c^2-18c=0 are c=0,c=1,c=-6

Find the zeros of 3c^3+15c^2-18c=0

The zeros of 3c^3+15c^2-18c=0 are c=0,c=1,c=-6

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3 c^{3} + 15 c^{2} - 18 c = 0

c = 0, c = 1, c = - 6

Solution steps

3 c^{3} + 15 c^{2} - 18 c = 0

Factor

3 c^{3} + 15 c^{2} - 18 c : 3 c (c - 1) (c + 6)

3 c (c - 1) (c + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

c = 0 or c - 1 = 0 or c + 6 = 0

Solve

c - 1 = 0 : c = 1

Solve

c + 6 = 0 : c = - 6

The solutions are

c = 0, c = 1, c = - 6

- 4 = x^{4} - 5 x^{2}

16 y^{3} - 3 = y - 48 y^{2}

2 r^{3} - 4 r^{2} - r + 2 = 0

- 2 y^{4} - 7 y^{2} - 4 = 0

0 = (x^{2} + 1) (x - 2) (x + 1)

What are the solutions to the equation 3c^3+15c^2-18c=0 ?
The solutions to the equation 3c^3+15c^2-18c=0 are c=0,c=1,c=-6
Find the zeros of 3c^3+15c^2-18c=0
The zeros of 3c^3+15c^2-18c=0 are c=0,c=1,c=-6