What are the solutions to the equation (3x-8)^2=3x^2-8x ?

The solutions to the equation (3x-8)^2=3x^2-8x are x=4,x= 8/3

Find the zeros of (3x-8)^2=3x^2-8x

The zeros of (3x-8)^2=3x^2-8x are x=4,x= 8/3

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(3 x - 8)^{2} = 3 x^{2} - 8 x

x = 4, x = \frac{8}{3}

Decimal Notation

x = 4, x = 2.66666 \dots

Solution steps

(3 x - 8)^{2} = 3 x^{2} - 8 x

Expand

(3 x - 8)^{2} : 9 x^{2} - 48 x + 64

9 x^{2} - 48 x + 64 = 3 x^{2} - 8 x

Move

8 x

to the left side

9 x^{2} - 40 x + 64 = 3 x^{2}

Move

3 x^{2}

to the left side

6 x^{2} - 40 x + 64 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 40 ) \pm ( - 40 ) ^{2} - 4 \cdot 6 \cdot 64}{2 \cdot 6}

(- 40)^{2} - 4 \cdot 6 \cdot 64 = 8

x_{1, 2} = \frac{- ( - 40 ) \pm 8}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 40 ) + 8}{2 \cdot 6}, x_{2} = \frac{- ( - 40 ) - 8}{2 \cdot 6}

x = \frac{- ( - 40 ) + 8}{2 \cdot 6} : 4

x = \frac{- ( - 40 ) - 8}{2 \cdot 6} : \frac{8}{3}

The solutions to the quadratic equation are:

x = 4, x = \frac{8}{3}

3^{5}

k^{2} + 8 k + 15

2 x - 31 = - 2 x - 31

\frac{2 ( 980 ) \cdot 0.4 \cdot ( 100000 ) ^{2}}{9 ( 1 0 ^{22} )}

What are the solutions to the equation (3x-8)^2=3x^2-8x ?
The solutions to the equation (3x-8)^2=3x^2-8x are x=4,x= 8/3
Find the zeros of (3x-8)^2=3x^2-8x
The zeros of (3x-8)^2=3x^2-8x are x=4,x= 8/3