What are the solutions to the equation 4w^2+3=-8w ?

The solutions to the equation 4w^2+3=-8w are w=-1/2 ,w=-3/2

Find the zeros of 4w^2+3=-8w

The zeros of 4w^2+3=-8w are w=-1/2 ,w=-3/2

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4 w^{2} + 3 = - 8 w

w = - \frac{1}{2}, w = - \frac{3}{2}

Solution steps

4 w^{2} + 3 = - 8 w

Move

8 w

to the left side

4 w^{2} + 3 + 8 w = 0

Write in the standard form

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

4 w^{2} + 8 w + 3 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 4 \cdot 3}{2 \cdot 4}

8^{2} - 4 \cdot 4 \cdot 3 = 4

w_{1, 2} = \frac{- 8 \pm 4}{2 \cdot 4}

Separate the solutions

w_{1} = \frac{- 8 + 4}{2 \cdot 4}, w_{2} = \frac{- 8 - 4}{2 \cdot 4}

w = \frac{- 8 + 4}{2 \cdot 4} : - \frac{1}{2}

w = \frac{- 8 - 4}{2 \cdot 4} : - \frac{3}{2}

The solutions to the quadratic equation are:

w = - \frac{1}{2}, w = - \frac{3}{2}

t^{2} - 5 t + 6 = 0

1 - \frac{1}{5}

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

1 2^{7}

x^{4} - 6 x^{3} + 8 x^{2} + 6 x - 9

What are the solutions to the equation 4w^2+3=-8w ?
The solutions to the equation 4w^2+3=-8w are w=-1/2 ,w=-3/2
Find the zeros of 4w^2+3=-8w
The zeros of 4w^2+3=-8w are w=-1/2 ,w=-3/2