What is the answer to 3(x-2)2(x+5)=3(x+1)2(x-1)+3 ?

The answer to 3(x-2)2(x+5)=3(x+1)2(x-1)+3 is x= 19/6

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3(x-2)2(x+5)=3(x+1)2(x-1)+3

3 (x - 2) 2 (x + 5) = 3 (x + 1) 2 (x - 1) + 3

x = \frac{19}{6}

Decimal Notation

x = 3.16666 \dots

Solution steps

3 (x - 2) \cdot 2 (x + 5) = 3 (x + 1) \cdot 2 (x - 1) + 3

Multiply the numbers:

3 \cdot 2 = 6

6 (x - 2) (x + 5) = 3 (x + 1) \cdot 2 (x - 1) + 3

Multiply the numbers:

3 \cdot 2 = 6

6 (x - 2) (x + 5) = 6 (x + 1) (x - 1) + 3

Expand

(x - 2) (x + 5) : x^{2} + 3 x - 10

6 (x^{2} + 3 x - 10) = 6 (x + 1) (x - 1) + 3

Expand

6 (x^{2} + 3 x - 10) : 6 x^{2} + 18 x - 60

6 x^{2} + 18 x - 60 = 6 (x + 1) (x - 1) + 3

Expand

6 (x + 1) (x - 1) + 3 : 6 x^{2} - 3

6 x^{2} + 18 x - 60 = 6 x^{2} - 3

Move

60

to the right side

6 x^{2} + 18 x = 6 x^{2} + 57

Move

6 x^{2}

to the left side

18 x = 57

Divide both sides by

18

x = \frac{19}{6}

174 = 48 n - 18

X, Y = X 5 + 3 X - 2 + 4 X

- (5 x - 4) = - 5 x + 5

5 a = 2 a + 15

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

What is the answer to 3(x-2)2(x+5)=3(x+1)2(x-1)+3 ?
The answer to 3(x-2)2(x+5)=3(x+1)2(x-1)+3 is x= 19/6
Solve for x: 3(x-2)2(x+5)=3(x+1)2(x-1)+3
The solution is x= 19/6