What are the solutions to the equation y^3+4y^2-36y=144 ?

The solutions to the equation y^3+4y^2-36y=144 are y=-4,y=-6,y=6

Find the zeros of y^3+4y^2-36y=144

The zeros of y^3+4y^2-36y=144 are y=-4,y=-6,y=6

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y^{3} + 4 y^{2} - 36 y = 144

y = - 4, y = - 6, y = 6

Solution steps

y^{3} + 4 y^{2} - 36 y = 144

Move

144

to the left side

y^{3} + 4 y^{2} - 36 y - 144 = 0

Factor

y^{3} + 4 y^{2} - 36 y - 144 : (y + 4) (y + 6) (y - 6)

(y + 4) (y + 6) (y - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y + 4 = 0 or y + 6 = 0 or y - 6 = 0

Solve

y + 4 = 0 : y = - 4

Solve

y + 6 = 0 : y = - 6

Solve

y - 6 = 0 : y = 6

The solutions are

y = - 4, y = - 6, y = 6

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

x^{3} - 8 x^{2} + 20 x - 16 = 0

2870 = 1000 \cdot (1 + x)^{5}

x^{4} - x^{2} - 42 = 0

4 x^{3} = 2048

What are the solutions to the equation y^3+4y^2-36y=144 ?
The solutions to the equation y^3+4y^2-36y=144 are y=-4,y=-6,y=6
Find the zeros of y^3+4y^2-36y=144
The zeros of y^3+4y^2-36y=144 are y=-4,y=-6,y=6