What are the solutions to the equation 6-7x=3x^2 ?

The solutions to the equation 6-7x=3x^2 are x= 2/3 ,x=-3

Find the zeros of 6-7x=3x^2

The zeros of 6-7x=3x^2 are x= 2/3 ,x=-3

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6 - 7 x = 3 x^{2}

x = \frac{2}{3}, x = - 3

Decimal

x = 0.66666 \dots, x = - 3

Solution steps

6 - 7 x = 3 x^{2}

Switch sides

3 x^{2} = 6 - 7 x

Move

7 x

to the left side

3 x^{2} + 7 x = 6

Move

6

to the left side

3 x^{2} + 7 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 3 ( - 6 )}{2 \cdot 3}

7^{2} - 4 \cdot 3 (- 6) = 11

x_{1, 2} = \frac{- 7 \pm 11}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 7 + 11}{2 \cdot 3}, x_{2} = \frac{- 7 - 11}{2 \cdot 3}

x = \frac{- 7 + 11}{2 \cdot 3} : \frac{2}{3}

x = \frac{- 7 - 11}{2 \cdot 3} : - 3

The solutions to the quadratic equation are:

x = \frac{2}{3}, x = - 3

n^{2} + 19 n + 66 = 6

w, m w^{2} = \frac{9 k \pm 41 k}{4}

0.9 \cdot 0.85 \cdot 210 \cdot 10 \cdot x \cdot (17 - 0.5 \cdot x) = 0.88 \cdot 1 0^{5}

\frac{1}{2} x^{2} - 11 = 25

(x + 1) (x - 4) = 14

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