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

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

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

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

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3 x^{2} - 6 = 7 x

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

Decimal Notation

x = 3, x = - 0.66666 \dots

Solution steps

3 x^{2} - 6 = 7 x

Move

7 x

to the left side

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

Write in the standard form

a x^{2} + b x + c = 0

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} : 3

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

The solutions to the quadratic equation are:

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

15 - \frac{1}{2} 2

3^{4 x - 7} < 4^{2 x + 3}

- 10 - 5

34 3^{\frac{4}{3}}

- 8 \geq - 5 x + 2 > - 38

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