What are the solutions to the equation 84= 1/2 x(3x+3) ?

The solutions to the equation 84= 1/2 x(3x+3) are x=7,x=-8

Find the zeros of 84= 1/2 x(3x+3)

The zeros of 84= 1/2 x(3x+3) are x=7,x=-8

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84 = \frac{1}{2} x (3 x + 3)

x = 7, x = - 8

Solution steps

84 = \frac{1}{2} x (3 x + 3)

Multiply both sides by

2

168 = x (3 x + 3)

Expand

x (3 x + 3) : 3 x^{2} + 3 x

168 = 3 x^{2} + 3 x

Switch sides

3 x^{2} + 3 x = 168

Move

168

to the left side

3 x^{2} + 3 x - 168 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 3 ( - 168 )}{2 \cdot 3}

3^{2} - 4 \cdot 3 (- 168) = 45

x_{1, 2} = \frac{- 3 \pm 45}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 3 + 45}{2 \cdot 3}, x_{2} = \frac{- 3 - 45}{2 \cdot 3}

x = \frac{- 3 + 45}{2 \cdot 3} : 7

x = \frac{- 3 - 45}{2 \cdot 3} : - 8

The solutions to the quadratic equation are:

x = 7, x = - 8

9 v^{2} + 2 = - 4 v

3 x^{2} - 18 x + 30 = 0

3 x^{2} = \frac{1}{3}

24 + 10 x - x^{2}

3 y^{2} - 3 y - 2 = - 5 y

What are the solutions to the equation 84= 1/2 x(3x+3) ?
The solutions to the equation 84= 1/2 x(3x+3) are x=7,x=-8
Find the zeros of 84= 1/2 x(3x+3)
The zeros of 84= 1/2 x(3x+3) are x=7,x=-8