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sweet-ann [11.9K]
3 years ago
12

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

Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0
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.
\frac{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

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