What are the solutions to the equation 6a^2+10a-50=5a ?

The solutions to the equation 6a^2+10a-50=5a are a= 5/2 ,a=-10/3

Find the zeros of 6a^2+10a-50=5a

The zeros of 6a^2+10a-50=5a are a= 5/2 ,a=-10/3

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6 a^{2} + 10 a - 50 = 5 a

a = \frac{5}{2}, a = - \frac{10}{3}

Decimal Notation

a = 2.5, a = - 3.33333 \dots

Solution steps

6 a^{2} + 10 a - 50 = 5 a

Move

5 a

to the left side

6 a^{2} + 5 a - 50 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 6 ( - 50 )}{2 \cdot 6}

5^{2} - 4 \cdot 6 (- 50) = 35

a_{1, 2} = \frac{- 5 \pm 35}{2 \cdot 6}

Separate the solutions

a_{1} = \frac{- 5 + 35}{2 \cdot 6}, a_{2} = \frac{- 5 - 35}{2 \cdot 6}

a = \frac{- 5 + 35}{2 \cdot 6} : \frac{5}{2}

a = \frac{- 5 - 35}{2 \cdot 6} : - \frac{10}{3}

The solutions to the quadratic equation are:

a = \frac{5}{2}, a = - \frac{10}{3}

- 98 y^{2} + 2 = 0

2600

(\frac{2 x y ^{2}}{z} + 5 x z^{2} + 2 x yz) (3 x y^{3} - \frac{2}{z})

14 x^{2} - 53 x + 14

14 - 6 (a + 2) = 9 + a

What are the solutions to the equation 6a^2+10a-50=5a ?
The solutions to the equation 6a^2+10a-50=5a are a= 5/2 ,a=-10/3
Find the zeros of 6a^2+10a-50=5a
The zeros of 6a^2+10a-50=5a are a= 5/2 ,a=-10/3