What are the solutions to the equation x(5x-7)=-2 ?

The solutions to the equation x(5x-7)=-2 are x=1,x= 2/5

Find the zeros of x(5x-7)=-2

The zeros of x(5x-7)=-2 are x=1,x= 2/5

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x (5 x - 7) = - 2

x = 1, x = \frac{2}{5}

Decimal Notation

x = 1, x = 0.4

Solution steps

x (5 x - 7) = - 2

Expand

x (5 x - 7) : 5 x^{2} - 7 x

5 x^{2} - 7 x = - 2

Move

2

to the left side

5 x^{2} - 7 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 5 \cdot 2}{2 \cdot 5}

(- 7)^{2} - 4 \cdot 5 \cdot 2 = 3

x_{1, 2} = \frac{- ( - 7 ) \pm 3}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 3}{2 \cdot 5}, x_{2} = \frac{- ( - 7 ) - 3}{2 \cdot 5}

x = \frac{- ( - 7 ) + 3}{2 \cdot 5} : 1

x = \frac{- ( - 7 ) - 3}{2 \cdot 5} : \frac{2}{5}

The solutions to the quadratic equation are:

x = 1, x = \frac{2}{5}

a, x = (a - b)^{2}

(\frac{2 x + 3}{4})^{2} = \frac{49}{25}

6 x (2 + x) = 45

x, x^{2} + x y + y^{2} = 100

x^{2} - \frac{2}{5} \cdot x + \frac{1}{25} = 0

What are the solutions to the equation x(5x-7)=-2 ?
The solutions to the equation x(5x-7)=-2 are x=1,x= 2/5
Find the zeros of x(5x-7)=-2
The zeros of x(5x-7)=-2 are x=1,x= 2/5