What are the solutions to the equation 6x^2+24x-30=810 ?

The solutions to the equation 6x^2+24x-30=810 are x=10,x=-14

Find the zeros of 6x^2+24x-30=810

The zeros of 6x^2+24x-30=810 are x=10,x=-14

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6 x^{2} + 24 x - 30 = 810

x = 10, x = - 14

Solution steps

6 x^{2} + 24 x - 30 = 810

Move

810

to the left side

6 x^{2} + 24 x - 840 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 6 ( - 840 )}{2 \cdot 6}

2 4^{2} - 4 \cdot 6 (- 840) = 144

x_{1, 2} = \frac{- 24 \pm 144}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 24 + 144}{2 \cdot 6}, x_{2} = \frac{- 24 - 144}{2 \cdot 6}

x = \frac{- 24 + 144}{2 \cdot 6} : 10

x = \frac{- 24 - 144}{2 \cdot 6} : - 14

The solutions to the quadratic equation are:

x = 10, x = - 14

x^{2} - 15 x = 11 - 5 x

c^{2} = 6^{2} + 5^{2}

x^{2} - 8 = 17

(4 x + 2) (3 x - 7) = 0

240 - 600 x + 30 x^{2} = 0

What are the solutions to the equation 6x^2+24x-30=810 ?
The solutions to the equation 6x^2+24x-30=810 are x=10,x=-14
Find the zeros of 6x^2+24x-30=810
The zeros of 6x^2+24x-30=810 are x=10,x=-14