What are the solutions to the equation x^2+21=-12x ?

The solutions to the equation x^2+21=-12x are x=-6+sqrt(15),x=-6-sqrt(15)

Find the zeros of x^2+21=-12x

The zeros of x^2+21=-12x are x=-6+sqrt(15),x=-6-sqrt(15)

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x^{2} + 21 = - 12 x

x = - 6 + 15, x = - 6 - 15

Decimal Notation

x = - 2.12701 \dots, x = - 9.87298 \dots

Solution steps

x^{2} + 21 = - 12 x

Move

12 x

to the left side

x^{2} + 21 + 12 x = 0

Write in the standard form

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

x^{2} + 12 x + 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 1 \cdot 21}{2 \cdot 1}

1 2^{2} - 4 \cdot 1 \cdot 21 = 215

x_{1, 2} = \frac{- 12 \pm 2 15}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 12 + 2 15}{2 \cdot 1}, x_{2} = \frac{- 12 - 2 15}{2 \cdot 1}

x = \frac{- 12 + 2 15}{2 \cdot 1} : - 6 + 15

x = \frac{- 12 - 2 15}{2 \cdot 1} : - 6 - 15

The solutions to the quadratic equation are:

x = - 6 + 15, x = - 6 - 15

- 8 x^{2} + 14 x = 0

6 x^{2} - 6 x + 12 = 0

3 x^{2} - 8 x - 35 = 0

- 4 x^{2} + 4 x + 3

(x + 3) (x + 2) = 0

What are the solutions to the equation x^2+21=-12x ?
The solutions to the equation x^2+21=-12x are x=-6+sqrt(15),x=-6-sqrt(15)
Find the zeros of x^2+21=-12x
The zeros of x^2+21=-12x are x=-6+sqrt(15),x=-6-sqrt(15)