What is 3x=√8-6x? show steps

3x = √ (-6x + 8)

(3x) ² = (√ (-6x + 8)) ²

9x² = - 6x + 8

9x² - 9x² = - 9x² - 6x + 8

0 = - 9x² - 6x + 8

x = - (-6) ± √ ((-6) ² - 4 (-9) (8))

2 (-9)

x = 6 ± √ (36 + 288)

-18

x = 6 ± √ (324)

-18

x = 6 ± 18

-18

x = 6 + 18 U x = 6 - 18

-18 - 18

x = 24 U x = - 12

-18 - 18

x = - 1¹/₃ U ²/₃

Solution Set: {-1¹/₃, ²/₃}

3x=√8-6x

Simplifies to

3x=-6x+2.828427

Add 6x to both sides

.

3x+6x=-6x+2.828427+6x

9x=2.828427

Divide both sides by 9.

9x/9=2.828427/9

x=0.31427