What are the solutions to the equation 6x+2=15x^2+5x ?

The solutions to the equation 6x+2=15x^2+5x are x= 2/5 ,x=-1/3

Find the zeros of 6x+2=15x^2+5x

The zeros of 6x+2=15x^2+5x are x= 2/5 ,x=-1/3

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6 x + 2 = 15 x^{2} + 5 x

x = \frac{2}{5}, x = - \frac{1}{3}

Decimal Notation

x = 0.4, x = - 0.33333 \dots

Solution steps

6 x + 2 = 15 x^{2} + 5 x

Switch sides

15 x^{2} + 5 x = 6 x + 2

Move

2

to the left side

15 x^{2} + 5 x - 2 = 6 x

Move

6 x

to the left side

15 x^{2} - x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 15 ( - 2 )}{2 \cdot 15}

(- 1)^{2} - 4 \cdot 15 (- 2) = 11

x_{1, 2} = \frac{- ( - 1 ) \pm 11}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 11}{2 \cdot 15}, x_{2} = \frac{- ( - 1 ) - 11}{2 \cdot 15}

x = \frac{- ( - 1 ) + 11}{2 \cdot 15} : \frac{2}{5}

x = \frac{- ( - 1 ) - 11}{2 \cdot 15} : - \frac{1}{3}

The solutions to the quadratic equation are:

x = \frac{2}{5}, x = - \frac{1}{3}

10 x^{2} = 36 a^{2} - 33 a x

25 s^{2} - 70 s + 49 = 0

(3 x - 5) (x + 1) = (5 x + 1) (x - 6)

8 x + 2 = 4 (x^{2} - 3) - (x - 2) (x - 3)

5 x^{2} + 4 x + 2 = 0

What are the solutions to the equation 6x+2=15x^2+5x ?
The solutions to the equation 6x+2=15x^2+5x are x= 2/5 ,x=-1/3
Find the zeros of 6x+2=15x^2+5x
The zeros of 6x+2=15x^2+5x are x= 2/5 ,x=-1/3