Question

X(x+3) + 34 = (x +5)(x+2)

Answer 1

x(x + 3) + 34 = (x + 5)(x + 2)

First, expand to remove parentheses.

`x^(2) + 3x + 34 = x^(2) + 2x + 5x + 10`
Second, add '2x + 5x' to get '7x'.

`x^(2) + 3x + 34 = x^(2) + 7x + 10`
Third, cancel out '
`x^(2)`' on both sides.

`3x + 34 = 7x + 10`
Fourth, subtract '3x' from both sides.

`34 = 7x + 10 - 3x`
Fifth, subtract '7x - 3x' to get '4x'.

`34 = 4x + 10`
Sixth, subtract '10' from both sides.

`34 - 10 = 4x`
Seventh, subtract '34 - 10' to get '24'.

`24 = 4x`
Eighth, divide both sides by '4', leaving the 'x' by itself.

`(24)/(4) =x`
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.

`6 = x`
Tenth, switch your sides to get the answer.

`x = 6`

Answer: x = 6