What are the solutions to the equation 0=x+0.15x^2 ?

The solutions to the equation 0=x+0.15x^2 are x=0,x=-20/3

Find the zeros of 0=x+0.15x^2

The zeros of 0=x+0.15x^2 are x=0,x=-20/3

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0 = x + 0.15 x^{2}

x = 0, x = - \frac{20}{3}

Solution steps

0 = x + 0.15 x^{2}

Multiply both sides by

100

0 = 100 x + 15 x^{2}

Switch sides

100 x + 15 x^{2} = 0

Write in the standard form

a x^{2} + b x + c = 0

15 x^{2} + 100 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 \cdot 15 \cdot 0}{2 \cdot 15}

10 0^{2} - 4 \cdot 15 \cdot 0 = 100

x_{1, 2} = \frac{- 100 \pm 100}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- 100 + 100}{2 \cdot 15}, x_{2} = \frac{- 100 - 100}{2 \cdot 15}

x = \frac{- 100 + 100}{2 \cdot 15} : 0

x = \frac{- 100 - 100}{2 \cdot 15} : - \frac{20}{3}

The solutions to the quadratic equation are:

x = 0, x = - \frac{20}{3}

\frac{2 ^{- \frac{4}{3}}}{5 4 ^{- \frac{4}{3}}}

14 \cdot 2

x \geq \frac{8}{2 + x}

\frac{2 x + 1}{3} - \frac{4 - x}{6} = - 2

3 b - 9 + 2 b < - 119

What are the solutions to the equation 0=x+0.15x^2 ?
The solutions to the equation 0=x+0.15x^2 are x=0,x=-20/3
Find the zeros of 0=x+0.15x^2
The zeros of 0=x+0.15x^2 are x=0,x=-20/3