What are the solutions to the equation a=5x(3x+2) ?

The solutions to the equation a=5x(3x+2) are x=(-10+sqrt(100+60a))/(30),x=(-10-sqrt(100+60a))/(30)

Find the zeros of a=5x(3x+2)

The zeros of a=5x(3x+2) are x=(-10+sqrt(100+60a))/(30),x=(-10-sqrt(100+60a))/(30)

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a = 5 x (3 x + 2)

x = \frac{- 10 + 100 + 60 a}{30}, x = \frac{- 10 - 100 + 60 a}{30}

Solution steps

a = 5 x (3 x + 2)

Expand

5 x (3 x + 2) : 15 x^{2} + 10 x

a = 15 x^{2} + 10 x

Switch sides

15 x^{2} + 10 x = a

Move

a

to the left side

15 x^{2} + 10 x - a = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 15 ( - a )}{2 \cdot 15}

Simplify

1 0^{2} - 4 \cdot 15 (- a) : 100 + 60 a

x_{1, 2} = \frac{- 10 \pm 100 + 60 a}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- 10 + 100 + 60 a}{2 \cdot 15}, x_{2} = \frac{- 10 - 100 + 60 a}{2 \cdot 15}

x = \frac{- 10 + 100 + 60 a}{2 \cdot 15} : \frac{- 10 + 100 + 60 a}{30}

x = \frac{- 10 - 100 + 60 a}{2 \cdot 15} : \frac{- 10 - 100 + 60 a}{30}

The solutions to the quadratic equation are:

x = \frac{- 10 + 100 + 60 a}{30}, x = \frac{- 10 - 100 + 60 a}{30}

9 v^{2} - 6 v - 2 = 0

v^{2} - 64 = 0

3 t^{2} = 0

- 8 x^{2} - 157 x + 60 = 0

x^{2} + 8 = - 3 x

What are the solutions to the equation a=5x(3x+2) ?
The solutions to the equation a=5x(3x+2) are x=(-10+sqrt(100+60a))/(30),x=(-10-sqrt(100+60a))/(30)
Find the zeros of a=5x(3x+2)
The zeros of a=5x(3x+2) are x=(-10+sqrt(100+60a))/(30),x=(-10-sqrt(100+60a))/(30)