What are the solutions to the equation 12x^2-17x-6=7x^2+6 ?

The solutions to the equation 12x^2-17x-6=7x^2+6 are x=4,x=-3/5

Find the zeros of 12x^2-17x-6=7x^2+6

The zeros of 12x^2-17x-6=7x^2+6 are x=4,x=-3/5

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12 x^{2} - 17 x - 6 = 7 x^{2} + 6

x = 4, x = - \frac{3}{5}

Decimal Notation

x = 4, x = - 0.6

Solution steps

12 x^{2} - 17 x - 6 = 7 x^{2} + 6

Move

6

to the left side

12 x^{2} - 17 x - 12 = 7 x^{2}

Move

7 x^{2}

to the left side

5 x^{2} - 17 x - 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 5 ( - 12 )}{2 \cdot 5}

(- 17)^{2} - 4 \cdot 5 (- 12) = 23

x_{1, 2} = \frac{- ( - 17 ) \pm 23}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 17 ) + 23}{2 \cdot 5}, x_{2} = \frac{- ( - 17 ) - 23}{2 \cdot 5}

x = \frac{- ( - 17 ) + 23}{2 \cdot 5} : 4

x = \frac{- ( - 17 ) - 23}{2 \cdot 5} : - \frac{3}{5}

The solutions to the quadratic equation are:

x = 4, x = - \frac{3}{5}

y, x + y^{2} = 2

x, x^{2} - y^{2} = z

x, 3 x^{2} - x y^{2} = c

7 k^{2} - 8 k + 10 = 0

2 n^{2} - 15 n + 7 = 0

What are the solutions to the equation 12x^2-17x-6=7x^2+6 ?
The solutions to the equation 12x^2-17x-6=7x^2+6 are x=4,x=-3/5
Find the zeros of 12x^2-17x-6=7x^2+6
The zeros of 12x^2-17x-6=7x^2+6 are x=4,x=-3/5