What are the solutions to the equation 3x^2-20x=7 ?

The solutions to the equation 3x^2-20x=7 are x=7,x=-1/3

Find the zeros of 3x^2-20x=7

The zeros of 3x^2-20x=7 are x=7,x=-1/3

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3 x^{2} - 20 x = 7

x = 7, x = - \frac{1}{3}

Solution steps

3 x^{2} - 20 x = 7

Move

7

to the left side

3 x^{2} - 20 x - 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 3 ( - 7 )}{2 \cdot 3}

(- 20)^{2} - 4 \cdot 3 (- 7) = 22

x_{1, 2} = \frac{- ( - 20 ) \pm 22}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 22}{2 \cdot 3}, x_{2} = \frac{- ( - 20 ) - 22}{2 \cdot 3}

x = \frac{- ( - 20 ) + 22}{2 \cdot 3} : 7

x = \frac{- ( - 20 ) - 22}{2 \cdot 3} : - \frac{1}{3}

The solutions to the quadratic equation are:

x = 7, x = - \frac{1}{3}

9 x^{2} + 15 x

9 \cdot 5

- 3 + 6 x + 1 > 4

- 10 \leq 2 x - 4 < - 2

9^{3} \cdot 3^{2} \cdot \frac{3 ^{6}}{3 ^{7}}

What are the solutions to the equation 3x^2-20x=7 ?
The solutions to the equation 3x^2-20x=7 are x=7,x=-1/3
Find the zeros of 3x^2-20x=7
The zeros of 3x^2-20x=7 are x=7,x=-1/3