What are the solutions to the equation x(7x-3)=10 ?

The solutions to the equation x(7x-3)=10 are x= 10/7 ,x=-1

Find the zeros of x(7x-3)=10

The zeros of x(7x-3)=10 are x= 10/7 ,x=-1

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x (7 x - 3) = 10

x = \frac{10}{7}, x = - 1

Decimal Notation

x = 1.42857 \dots, x = - 1

Solution steps

x (7 x - 3) = 10

Expand

x (7 x - 3) : 7 x^{2} - 3 x

7 x^{2} - 3 x = 10

Move

10

to the left side

7 x^{2} - 3 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 7 ( - 10 )}{2 \cdot 7}

(- 3)^{2} - 4 \cdot 7 (- 10) = 17

x_{1, 2} = \frac{- ( - 3 ) \pm 17}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 17}{2 \cdot 7}, x_{2} = \frac{- ( - 3 ) - 17}{2 \cdot 7}

x = \frac{- ( - 3 ) + 17}{2 \cdot 7} : \frac{10}{7}

x = \frac{- ( - 3 ) - 17}{2 \cdot 7} : - 1

The solutions to the quadratic equation are:

x = \frac{10}{7}, x = - 1

(x + 2)^{2} - (x + 3)^{2}

275 = 5.5 t - 110

x^{2} = 10 x - 34

4 + 4 (x - y) + (x - y)^{2}

16 a^{3} b^{7} + 2 a^{6} b^{4} - 22 a^{4} b^{5}

What are the solutions to the equation x(7x-3)=10 ?
The solutions to the equation x(7x-3)=10 are x= 10/7 ,x=-1
Find the zeros of x(7x-3)=10
The zeros of x(7x-3)=10 are x= 10/7 ,x=-1