What is the answer to -(pi(-2pix+1))/(3sqrt(3))+2pix=0 ?

The answer to -(pi(-2pix+1))/(3sqrt(3))+2pix=0 is x=(-pi+3sqrt(3))/(-2pi^2+54)

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-(pi(-2pix+1))/(3sqrt(3))+2pix=0

- \frac{π ( - 2 π x + 1 )}{3 3} + 2 π x = 0

x = \frac{- π + 3 3}{- 2 π ^{2} + 54}

Decimal Notation

x = 0.05996 \dots

Solution steps

- \frac{π ( - 2 π x + 1 )}{3 3} + 2 π x = 0

Multiply both sides by

33

- π (- 2 π x + 1) + 63 π x = 0

Expand

- π (- 2 π x + 1) : 2 π^{2} x - π

2 π^{2} x - π + 63 π x = 0

Move

π

to the right side

2 π^{2} x + 63 π x = π

Factor

2 π^{2} x + 63 π x : 2 π (π + 33) x

2 π (π + 33) x = π

Divide both sides by

2 π^{2} + 63 π

x = \frac{- π + 3 3}{- 2 π ^{2} + 54}

0^{\frac{3}{2}}

3 - \frac{2}{3}

3 x^{2} + 4 = 8 x

- 69 = 11 x - 3

lo g_{10} (0.8)

What is the answer to -(pi(-2pix+1))/(3sqrt(3))+2pix=0 ?
The answer to -(pi(-2pix+1))/(3sqrt(3))+2pix=0 is x=(-pi+3sqrt(3))/(-2pi^2+54)