What are the solutions to the equation 7x=15-30x^2 ?

The solutions to the equation 7x=15-30x^2 are x=-5/6 ,x= 3/5

Find the zeros of 7x=15-30x^2

The zeros of 7x=15-30x^2 are x=-5/6 ,x= 3/5

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7 x = 15 - 30 x^{2}

x = - \frac{5}{6}, x = \frac{3}{5}

Decimal Notation

x = - 0.83333 \dots, x = 0.6

Solution steps

7 x = 15 - 30 x^{2}

Switch sides

15 - 30 x^{2} = 7 x

Move

7 x

to the left side

15 - 30 x^{2} - 7 x = 0

Write in the standard form

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

- 30 x^{2} - 7 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 ( - 30 ) \cdot 15}{2 ( - 30 )}

(- 7)^{2} - 4 (- 30) \cdot 15 = 43

x_{1, 2} = \frac{- ( - 7 ) \pm 43}{2 ( - 30 )}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 43}{2 ( - 30 )}, x_{2} = \frac{- ( - 7 ) - 43}{2 ( - 30 )}

x = \frac{- ( - 7 ) + 43}{2 ( - 30 )} : - \frac{5}{6}

x = \frac{- ( - 7 ) - 43}{2 ( - 30 )} : \frac{3}{5}

The solutions to the quadratic equation are:

x = - \frac{5}{6}, x = \frac{3}{5}

x^{2} = 7 x - 12

4 (x + 7)^{2} + 17 = 33

x^{2} - 2 x - 168 = 0

3 x^{2} - 36 x = - 96

6 x^{2} + 6 x - 1 = - 5 x - 4

What are the solutions to the equation 7x=15-30x^2 ?
The solutions to the equation 7x=15-30x^2 are x=-5/6 ,x= 3/5
Find the zeros of 7x=15-30x^2
The zeros of 7x=15-30x^2 are x=-5/6 ,x= 3/5