What are the solutions to the equation 10d^2+15d-25=6d^2 ?

The solutions to the equation 10d^2+15d-25=6d^2 are d= 5/4 ,d=-5

Find the zeros of 10d^2+15d-25=6d^2

The zeros of 10d^2+15d-25=6d^2 are d= 5/4 ,d=-5

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10 d^{2} + 15 d - 25 = 6 d^{2}

d = \frac{5}{4}, d = - 5

Decimal Notation

d = 1.25, d = - 5

Solution steps

10 d^{2} + 15 d - 25 = 6 d^{2}

Move

6 d^{2}

to the left side

4 d^{2} + 15 d - 25 = 0

Solve with the quadratic formula

d_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 4 ( - 25 )}{2 \cdot 4}

1 5^{2} - 4 \cdot 4 (- 25) = 25

d_{1, 2} = \frac{- 15 \pm 25}{2 \cdot 4}

Separate the solutions

d_{1} = \frac{- 15 + 25}{2 \cdot 4}, d_{2} = \frac{- 15 - 25}{2 \cdot 4}

d = \frac{- 15 + 25}{2 \cdot 4} : \frac{5}{4}

d = \frac{- 15 - 25}{2 \cdot 4} : - 5

The solutions to the quadratic equation are:

d = \frac{5}{4}, d = - 5

x, (x - a)^{2} + (y - b)^{2} = r^{2}

x^{2} + x = e

x, 3 x^{2} - 6 x - 3 y^{2} + 3 = 0

x^{2} + 4 x - 65 = 4 x - 1

x^{2} - 4 x - 16 = - 4 x

What are the solutions to the equation 10d^2+15d-25=6d^2 ?
The solutions to the equation 10d^2+15d-25=6d^2 are d= 5/4 ,d=-5
Find the zeros of 10d^2+15d-25=6d^2
The zeros of 10d^2+15d-25=6d^2 are d= 5/4 ,d=-5