What are the solutions to the equation 24x^2-11x-3=3x ?

The solutions to the equation 24x^2-11x-3=3x are x= 3/4 ,x=-1/6

Find the zeros of 24x^2-11x-3=3x

The zeros of 24x^2-11x-3=3x are x= 3/4 ,x=-1/6

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24 x^{2} - 11 x - 3 = 3 x

x = \frac{3}{4}, x = - \frac{1}{6}

Decimal Notation

x = 0.75, x = - 0.16666 \dots

Solution steps

24 x^{2} - 11 x - 3 = 3 x

Move

3 x

to the left side

24 x^{2} - 14 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 24 ( - 3 )}{2 \cdot 24}

(- 14)^{2} - 4 \cdot 24 (- 3) = 22

x_{1, 2} = \frac{- ( - 14 ) \pm 22}{2 \cdot 24}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 22}{2 \cdot 24}, x_{2} = \frac{- ( - 14 ) - 22}{2 \cdot 24}

x = \frac{- ( - 14 ) + 22}{2 \cdot 24} : \frac{3}{4}

x = \frac{- ( - 14 ) - 22}{2 \cdot 24} : - \frac{1}{6}

The solutions to the quadratic equation are:

x = \frac{3}{4}, x = - \frac{1}{6}

25 + 70 x + 49 x^{2}

∣ x - 2 ∣ = 12

5 b^{2} + 45 b

z + 29 > - 85

(\frac{2}{2})^{2}

What are the solutions to the equation 24x^2-11x-3=3x ?
The solutions to the equation 24x^2-11x-3=3x are x= 3/4 ,x=-1/6
Find the zeros of 24x^2-11x-3=3x
The zeros of 24x^2-11x-3=3x are x= 3/4 ,x=-1/6