What are the solutions to the equation factor 15x^2+7x-2=0 ?

The solutions to the equation factor 15x^2+7x-2=0 are x= 1/5 ,x=-2/3

Find the zeros of factor 15x^2+7x-2=0

The zeros of factor 15x^2+7x-2=0 are x= 1/5 ,x=-2/3

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15 x^{2} + 7 x - 2 = 0

x = \frac{1}{5}, x = - \frac{2}{3}

Decimal Notation

x = 0.2, x = - 0.66666 \dots

Solution steps

15 x^{2} + 7 x - 2 = 0

Factor

15 x^{2} + 7 x - 2 : (5 x - 1) (3 x + 2)

(5 x - 1) (3 x + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 x - 1 = 0 or 3 x + 2 = 0

Solve

5 x - 1 = 0 : x = \frac{1}{5}

Solve

3 x + 2 = 0 : x = - \frac{2}{3}

The solutions to the quadratic equation are:

x = \frac{1}{5}, x = - \frac{2}{3}

\frac{x}{9} \cdot \frac{x}{9} = \frac{4}{9}

2 z + a z^{2} + a = 0

2 x^{2} + 8 x = - 5

x = - x^{2} + 2

5 a^{2} - 10 a = 0

What are the solutions to the equation factor 15x^2+7x-2=0 ?
The solutions to the equation factor 15x^2+7x-2=0 are x= 1/5 ,x=-2/3
Find the zeros of factor 15x^2+7x-2=0
The zeros of factor 15x^2+7x-2=0 are x= 1/5 ,x=-2/3