What are the solutions to the equation 6x^2-18x-24=216 ?

The solutions to the equation 6x^2-18x-24=216 are x=8,x=-5

Find the zeros of 6x^2-18x-24=216

The zeros of 6x^2-18x-24=216 are x=8,x=-5

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6 x^{2} - 18 x - 24 = 216

x = 8, x = - 5

Solution steps

6 x^{2} - 18 x - 24 = 216

Move

216

to the left side

6 x^{2} - 18 x - 240 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 6 ( - 240 )}{2 \cdot 6}

(- 18)^{2} - 4 \cdot 6 (- 240) = 78

x_{1, 2} = \frac{- ( - 18 ) \pm 78}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 78}{2 \cdot 6}, x_{2} = \frac{- ( - 18 ) - 78}{2 \cdot 6}

x = \frac{- ( - 18 ) + 78}{2 \cdot 6} : 8

x = \frac{- ( - 18 ) - 78}{2 \cdot 6} : - 5

The solutions to the quadratic equation are:

x = 8, x = - 5

\frac{1.1 + 2}{( 1.1 - 1 ) ^{2}}

6 w^{2} - 11 w + 12 = 6 w

∣ x - 2 ∣ < 0

2 x^{3} - x^{2} + 40 x - 20

9 y^{2} - 30 y = - 25

What are the solutions to the equation 6x^2-18x-24=216 ?
The solutions to the equation 6x^2-18x-24=216 are x=8,x=-5
Find the zeros of 6x^2-18x-24=216
The zeros of 6x^2-18x-24=216 are x=8,x=-5