What is the answer to ((4x+1)/3)2=(3x+15)/2-1 ?

The answer to ((4x+1)/3)2=(3x+15)/2-1 is x=5

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((4x+1)/3)2=(3x+15)/2-1

(\frac{4 x + 1}{3}) 2 = \frac{3 x + 15}{2} - 1

x = 5

Solution steps

(\frac{4 x + 1}{3}) \cdot 2 = \frac{3 x + 15}{2} - 1

Expand

(\frac{4 x + 1}{3}) \cdot 2 : \frac{8 x}{3} + \frac{2}{3}

Expand

\frac{3 x + 15}{2} - 1 : \frac{3 x}{2} + \frac{15}{2} - 1

\frac{8 x}{3} + \frac{2}{3} = \frac{3 x}{2} + \frac{15}{2} - 1

Multiply by LCM

16 x + 4 = 9 x + 39

Move

4

to the right side

16 x = 9 x + 35

Move

9 x

to the left side

7 x = 35

Divide both sides by

7

x = 5

x^{2} - 5 x - 1 = 0

\frac{3}{5} m^{2} - 2 mn + \frac{1}{10} m^{2} - \frac{1}{3} mn + 2 mn - 2 m^{2}

3 (1 1^{\frac{1}{4}}) + 9 (1 1^{\frac{1}{4}})

3 (2)

\frac{7 x - 1}{3} \geq \frac{x + 2}{4}

What is the answer to ((4x+1)/3)2=(3x+15)/2-1 ?
The answer to ((4x+1)/3)2=(3x+15)/2-1 is x=5
Solve for x: ((4x+1)/3)2=(3x+15)/2-1
The solution is x=5