What are the solutions to the equation 84x(x+2)=90-13x ?

The solutions to the equation 84x(x+2)=90-13x are x= 5/12 ,x=-18/7

Find the zeros of 84x(x+2)=90-13x

The zeros of 84x(x+2)=90-13x are x= 5/12 ,x=-18/7

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84 x (x + 2) = 90 - 13 x

x = \frac{5}{12}, x = - \frac{18}{7}

Decimal Notation

x = 0.41666 \dots, x = - 2.57142 \dots

Solution steps

84 x (x + 2) = 90 - 13 x

Expand

84 x (x + 2) : 84 x^{2} + 168 x

84 x^{2} + 168 x = 90 - 13 x

Move

13 x

to the left side

84 x^{2} + 181 x = 90

Move

90

to the left side

84 x^{2} + 181 x - 90 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 181 \pm 18 1 ^{2} - 4 \cdot 84 ( - 90 )}{2 \cdot 84}

18 1^{2} - 4 \cdot 84 (- 90) = 251

x_{1, 2} = \frac{- 181 \pm 251}{2 \cdot 84}

Separate the solutions

x_{1} = \frac{- 181 + 251}{2 \cdot 84}, x_{2} = \frac{- 181 - 251}{2 \cdot 84}

x = \frac{- 181 + 251}{2 \cdot 84} : \frac{5}{12}

x = \frac{- 181 - 251}{2 \cdot 84} : - \frac{18}{7}

The solutions to the quadratic equation are:

x = \frac{5}{12}, x = - \frac{18}{7}

7 x^{2} - 12 x = 36 + 7 x

6 a^{2} + 10 = 60 + 4 a^{2}

x^{2} + 2 x - 15 = 0

(s + 4)^{2} = 0

(x - 4)^{2} + (x - 3)^{2} = 25

What are the solutions to the equation 84x(x+2)=90-13x ?
The solutions to the equation 84x(x+2)=90-13x are x= 5/12 ,x=-18/7
Find the zeros of 84x(x+2)=90-13x
The zeros of 84x(x+2)=90-13x are x= 5/12 ,x=-18/7