What are the solutions to the equation 10x^2+5x=6x+3 ?

The solutions to the equation 10x^2+5x=6x+3 are x= 3/5 ,x=-1/2

Find the zeros of 10x^2+5x=6x+3

The zeros of 10x^2+5x=6x+3 are x= 3/5 ,x=-1/2

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10 x^{2} + 5 x = 6 x + 3

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

Decimal Notation

x = 0.6, x = - 0.5

Solution steps

10 x^{2} + 5 x = 6 x + 3

Move

3

to the left side

10 x^{2} + 5 x - 3 = 6 x

Move

6 x

to the left side

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

Solve with the quadratic formula

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

(- 1)^{2} - 4 \cdot 10 (- 3) = 11

x_{1, 2} = \frac{- ( - 1 ) \pm 11}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 11}{2 \cdot 10}, x_{2} = \frac{- ( - 1 ) - 11}{2 \cdot 10}

x = \frac{- ( - 1 ) + 11}{2 \cdot 10} : \frac{3}{5}

x = \frac{- ( - 1 ) - 11}{2 \cdot 10} : - \frac{1}{2}

The solutions to the quadratic equation are:

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

x, f (h + 1) = 2 x^{2} + 5 x - 3

3 x^{2} - 4 = - 11 x

x, y^{4} = 8 x^{2}

3 (x - 3) (x + 5) = 7 x^{2} + 2 x - 3

- 2 x + 8 = - 9 x^{2}

What are the solutions to the equation 10x^2+5x=6x+3 ?
The solutions to the equation 10x^2+5x=6x+3 are x= 3/5 ,x=-1/2
Find the zeros of 10x^2+5x=6x+3
The zeros of 10x^2+5x=6x+3 are x= 3/5 ,x=-1/2