What are the solutions to the equation 30d^2-55d=-15 ?

The solutions to the equation 30d^2-55d=-15 are d= 3/2 ,d= 1/3

Find the zeros of 30d^2-55d=-15

The zeros of 30d^2-55d=-15 are d= 3/2 ,d= 1/3

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30 d^{2} - 55 d = - 15

d = \frac{3}{2}, d = \frac{1}{3}

Decimal Notation

d = 1.5, d = 0.33333 \dots

Solution steps

30 d^{2} - 55 d = - 15

Move

15

to the left side

30 d^{2} - 55 d + 15 = 0

Solve with the quadratic formula

d_{1, 2} = \frac{- ( - 55 ) \pm ( - 55 ) ^{2} - 4 \cdot 30 \cdot 15}{2 \cdot 30}

(- 55)^{2} - 4 \cdot 30 \cdot 15 = 35

d_{1, 2} = \frac{- ( - 55 ) \pm 35}{2 \cdot 30}

Separate the solutions

d_{1} = \frac{- ( - 55 ) + 35}{2 \cdot 30}, d_{2} = \frac{- ( - 55 ) - 35}{2 \cdot 30}

d = \frac{- ( - 55 ) + 35}{2 \cdot 30} : \frac{3}{2}

d = \frac{- ( - 55 ) - 35}{2 \cdot 30} : \frac{1}{3}

The solutions to the quadratic equation are:

d = \frac{3}{2}, d = \frac{1}{3}

(m - 14)^{2} = 104

(x + 5) (x - 2) = 8

\frac{1}{2} = x^{2}

x^{2} - 2.3 x + 0.5 = 0

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

What are the solutions to the equation 30d^2-55d=-15 ?
The solutions to the equation 30d^2-55d=-15 are d= 3/2 ,d= 1/3
Find the zeros of 30d^2-55d=-15
The zeros of 30d^2-55d=-15 are d= 3/2 ,d= 1/3