What are the solutions to the equation 9w^2+25=-30w ?

The solutions to the equation 9w^2+25=-30w are w=-5/3

Find the zeros of 9w^2+25=-30w

The zeros of 9w^2+25=-30w are w=-5/3

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9 w^{2} + 25 = - 30 w

w = - \frac{5}{3}

Decimal Notation

w = - 1.66666 \dots

Solution steps

9 w^{2} + 25 = - 30 w

Move

30 w

to the left side

9 w^{2} + 25 + 30 w = 0

Write in the standard form

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

9 w^{2} + 30 w + 25 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 9 \cdot 25}{2 \cdot 9}

3 0^{2} - 4 \cdot 9 \cdot 25 = 0

w_{1, 2} = \frac{- 30 \pm 0}{2 \cdot 9}

w = \frac{- 30}{2 \cdot 9}

\frac{- 30}{2 \cdot 9} = - \frac{5}{3}

w = - \frac{5}{3}

The solution to the quadratic equation is:

w = - \frac{5}{3}

2 z^{2} - z - 1 = 0

- x (x + 3) = 2 (x^{2} + 1)

2 x^{2} + 2 x - 312 = 0

t^{2} - 13 t + 36 = 0

q, - 0.3 q^{2} + 36 q = - 3 q - 100

What are the solutions to the equation 9w^2+25=-30w ?
The solutions to the equation 9w^2+25=-30w are w=-5/3
Find the zeros of 9w^2+25=-30w
The zeros of 9w^2+25=-30w are w=-5/3