What are the solutions to the equation 2x+4+6x^2=5x^2+6x ?

The solutions to the equation 2x+4+6x^2=5x^2+6x are x=2

Find the zeros of 2x+4+6x^2=5x^2+6x

The zeros of 2x+4+6x^2=5x^2+6x are x=2

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2 x + 4 + 6 x^{2} = 5 x^{2} + 6 x

x = 2

Solution steps

2 x + 4 + 6 x^{2} = 5 x^{2} + 6 x

Move

6 x

to the left side

6 x^{2} - 4 x + 4 = 5 x^{2}

Move

5 x^{2}

to the left side

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

Solve with the quadratic formula

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

(- 4)^{2} - 4 \cdot 1 \cdot 4 = 0

x_{1, 2} = \frac{- ( - 4 ) \pm 0}{2 \cdot 1}

x = \frac{- ( - 4 )}{2 \cdot 1}

\frac{- ( - 4 )}{2 \cdot 1} = 2

x = 2

The solution to the quadratic equation is:

x = 2

x^{2} + 23 x - 78 = 0

x^{2} + 11 x + 30 = 0

8 p^{2} + 14 p - 9 = 6

4 y^{2} + 25 = - 20 y

2 (x + 4)^{2} + 44 = 46

What are the solutions to the equation 2x+4+6x^2=5x^2+6x ?
The solutions to the equation 2x+4+6x^2=5x^2+6x are x=2
Find the zeros of 2x+4+6x^2=5x^2+6x
The zeros of 2x+4+6x^2=5x^2+6x are x=2