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

The solutions to the equation 10x^2+3=3x^2-10x are x=-3/7 ,x=-1

Find the zeros of 10x^2+3=3x^2-10x

The zeros of 10x^2+3=3x^2-10x are x=-3/7 ,x=-1

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

x = - \frac{3}{7}, x = - 1

Decimal Notation

x = - 0.42857 \dots, x = - 1

Solution steps

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

Move

10 x

to the left side

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

Move

3 x^{2}

to the left side

7 x^{2} + 10 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 7 \cdot 3}{2 \cdot 7}

1 0^{2} - 4 \cdot 7 \cdot 3 = 4

x_{1, 2} = \frac{- 10 \pm 4}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- 10 + 4}{2 \cdot 7}, x_{2} = \frac{- 10 - 4}{2 \cdot 7}

x = \frac{- 10 + 4}{2 \cdot 7} : - \frac{3}{7}

x = \frac{- 10 - 4}{2 \cdot 7} : - 1

The solutions to the quadratic equation are:

x = - \frac{3}{7}, x = - 1

2 ab + 2 a - 3 b - 3

\frac{x}{y} + x

- 8 x^{2} + 2 x + 6 = 0

\frac{64 - m ^{3}}{( 4 - m ) ^{3}}

\frac{3 z}{4} + 5 \leq - 1

What are the solutions to the equation 10x^2+3=3x^2-10x ?
The solutions to the equation 10x^2+3=3x^2-10x are x=-3/7 ,x=-1
Find the zeros of 10x^2+3=3x^2-10x
The zeros of 10x^2+3=3x^2-10x are x=-3/7 ,x=-1