What are the solutions to the equation x^2+x=1.5x^2 ?

The solutions to the equation x^2+x=1.5x^2 are x=0,x=2

Find the zeros of x^2+x=1.5x^2

The zeros of x^2+x=1.5x^2 are x=0,x=2

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x^{2} + x = 1.5 x^{2}

x = 0, x = 2

Solution steps

x^{2} + x = 1.5 x^{2}

Multiply both sides by

10

x^{2} \cdot 10 + x \cdot 10 = 15 x^{2}

Move

15 x^{2}

to the left side

- 5 x^{2} + 10 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 ( - 5 ) \cdot 0}{2 ( - 5 )}

1 0^{2} - 4 (- 5) \cdot 0 = 10

x_{1, 2} = \frac{- 10 \pm 10}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 10 + 10}{2 ( - 5 )}, x_{2} = \frac{- 10 - 10}{2 ( - 5 )}

x = \frac{- 10 + 10}{2 ( - 5 )} : 0

x = \frac{- 10 - 10}{2 ( - 5 )} : 2

The solutions to the quadratic equation are:

x = 0, x = 2

- 2 \geq - 10

f = 2^{3} - 9 \cdot 2

3 w^{2} - 10 w - 77 = 0

x - 4 = - 10

3 x - 7 = x + 1

What are the solutions to the equation x^2+x=1.5x^2 ?
The solutions to the equation x^2+x=1.5x^2 are x=0,x=2
Find the zeros of x^2+x=1.5x^2
The zeros of x^2+x=1.5x^2 are x=0,x=2