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

The solutions to the equation 5x^2+5x=2x^2+10x are x= 5/3 ,x=0

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

The zeros of 5x^2+5x=2x^2+10x are x= 5/3 ,x=0

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

x = \frac{5}{3}, x = 0

Decimal Notation

x = 1.66666 \dots, x = 0

Solution steps

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

Move

10 x

to the left side

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

Move

2 x^{2}

to the left side

3 x^{2} - 5 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 3 \cdot 0}{2 \cdot 3}

(- 5)^{2} - 4 \cdot 3 \cdot 0 = 5

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

Separate the solutions

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

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

x = \frac{- ( - 5 ) - 5}{2 \cdot 3} : 0

The solutions to the quadratic equation are:

x = \frac{5}{3}, x = 0

3 (x + 4)^{2} = 54

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

9 x^{2} + 48 x + 65 = 0

3 b^{2} - 15 = 4 b

t, S = \frac{1}{2} g t^{2}

What are the solutions to the equation 5x^2+5x=2x^2+10x ?
The solutions to the equation 5x^2+5x=2x^2+10x are x= 5/3 ,x=0
Find the zeros of 5x^2+5x=2x^2+10x
The zeros of 5x^2+5x=2x^2+10x are x= 5/3 ,x=0