What are the solutions to the equation 33x-2=(3x+2)^2 ?

The solutions to the equation 33x-2=(3x+2)^2 are x=2,x= 1/3

Find the zeros of 33x-2=(3x+2)^2

The zeros of 33x-2=(3x+2)^2 are x=2,x= 1/3

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33 x - 2 = (3 x + 2)^{2}

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

Decimal Notation

x = 2, x = 0.33333 \dots

Solution steps

33 x - 2 = (3 x + 2)^{2}

Expand

(3 x + 2)^{2} : 9 x^{2} + 12 x + 4

33 x - 2 = 9 x^{2} + 12 x + 4

Switch sides

9 x^{2} + 12 x + 4 = 33 x - 2

Move

2

to the left side

9 x^{2} + 12 x + 6 = 33 x

Move

33 x

to the left side

9 x^{2} - 21 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 \cdot 9 \cdot 6}{2 \cdot 9}

(- 21)^{2} - 4 \cdot 9 \cdot 6 = 15

x_{1, 2} = \frac{- ( - 21 ) \pm 15}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 21 ) + 15}{2 \cdot 9}, x_{2} = \frac{- ( - 21 ) - 15}{2 \cdot 9}

x = \frac{- ( - 21 ) + 15}{2 \cdot 9} : 2

x = \frac{- ( - 21 ) - 15}{2 \cdot 9} : \frac{1}{3}

The solutions to the quadratic equation are:

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

(x + 4)^{2} = (x + 2)^{2} + x^{2}

3 z^{2} - 12 z

5 x^{2} + 32 x - 21 = 0

q^{2} - 140 q + 4800 = 0

x^{2} + x = 210

What are the solutions to the equation 33x-2=(3x+2)^2 ?
The solutions to the equation 33x-2=(3x+2)^2 are x=2,x= 1/3
Find the zeros of 33x-2=(3x+2)^2
The zeros of 33x-2=(3x+2)^2 are x=2,x= 1/3