What are the solutions to the equation 10w^2-15w-9=18-6w+4w^2 ?

The solutions to the equation 10w^2-15w-9=18-6w+4w^2 are w=3,w=-3/2

Find the zeros of 10w^2-15w-9=18-6w+4w^2

The zeros of 10w^2-15w-9=18-6w+4w^2 are w=3,w=-3/2

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10 w^{2} - 15 w - 9 = 18 - 6 w + 4 w^{2}

w = 3, w = - \frac{3}{2}

Decimal Notation

w = 3, w = - 1.5

Solution steps

10 w^{2} - 15 w - 9 = 18 - 6 w + 4 w^{2}

Move

4 w^{2}

to the left side

6 w^{2} - 15 w - 9 = 18 - 6 w

Move

6 w

to the left side

6 w^{2} - 9 w - 9 = 18

Move

18

to the left side

6 w^{2} - 9 w - 27 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 6 ( - 27 )}{2 \cdot 6}

(- 9)^{2} - 4 \cdot 6 (- 27) = 27

w_{1, 2} = \frac{- ( - 9 ) \pm 27}{2 \cdot 6}

Separate the solutions

w_{1} = \frac{- ( - 9 ) + 27}{2 \cdot 6}, w_{2} = \frac{- ( - 9 ) - 27}{2 \cdot 6}

w = \frac{- ( - 9 ) + 27}{2 \cdot 6} : 3

w = \frac{- ( - 9 ) - 27}{2 \cdot 6} : - \frac{3}{2}

The solutions to the quadratic equation are:

w = 3, w = - \frac{3}{2}

3 x^{2} - 2 = - x

y, x y + 2 x + 3 x^{2} = 4

- 2 x^{2} - 4 x + 6

3 t^{2} - 16 t + 5 = 0

6 t = - 3 t^{2} + 75 t + 150

What are the solutions to the equation 10w^2-15w-9=18-6w+4w^2 ?
The solutions to the equation 10w^2-15w-9=18-6w+4w^2 are w=3,w=-3/2
Find the zeros of 10w^2-15w-9=18-6w+4w^2
The zeros of 10w^2-15w-9=18-6w+4w^2 are w=3,w=-3/2