What are the solutions to the equation 6x^2-21=-5x ?

The solutions to the equation 6x^2-21=-5x are x= 3/2 ,x=-7/3

Find the zeros of 6x^2-21=-5x

The zeros of 6x^2-21=-5x are x= 3/2 ,x=-7/3

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6 x^{2} - 21 = - 5 x

x = \frac{3}{2}, x = - \frac{7}{3}

Decimal

x = 1.5, x = - 2.33333 \dots

Solution steps

6 x^{2} - 21 = - 5 x

Move

5 x

to the left side

6 x^{2} - 21 + 5 x = 0

Write in the standard form

a x^{2} + b x + c = 0

6 x^{2} + 5 x - 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 6 ( - 21 )}{2 \cdot 6}

5^{2} - 4 \cdot 6 (- 21) = 23

x_{1, 2} = \frac{- 5 \pm 23}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 5 + 23}{2 \cdot 6}, x_{2} = \frac{- 5 - 23}{2 \cdot 6}

x = \frac{- 5 + 23}{2 \cdot 6} : \frac{3}{2}

x = \frac{- 5 - 23}{2 \cdot 6} : - \frac{7}{3}

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = - \frac{7}{3}

5 n^{2} - 30 n + 20 = - n

- 34 = 15 - 80 x^{2}

x^{2} - 6 x = 0

5 x^{2} - 3 x = 0

y, x^{2} y = 1

What are the solutions to the equation 6x^2-21=-5x ?
The solutions to the equation 6x^2-21=-5x are x= 3/2 ,x=-7/3
Find the zeros of 6x^2-21=-5x
The zeros of 6x^2-21=-5x are x= 3/2 ,x=-7/3