solve: (x-2) (x+1) = (x-1) (x+3)
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Required Answer:-
Given:
- (x - 2)(x + 1) = (x - 1)(x + 3)
To find:
- The value of x.
Solution:
We have,
➡ (x - 2)(x + 1) = (x - 1)(x + 3)
Multiply the parentheses,
➡ x(x + 1) - 2(x + 1) = x(x + 3) - 1(x + 3)
Remove parentheses,
➡ x² + x - 2x - 2 = x² + 3x - x - 3
Add up,
➡ x² - x - 2 = x² + 2x - 3
Cancel out like terms,
➡ -x - 2 = 2x - 3
Shift everything to the left,
➡ -x - 2x - 2 + 3 = 0
Collect like terms,
➡ -3x + 1 = 0
Move 1 to the right,
➡ -3x = -1
Divide both sides by -3,
➡ -3x/-3 = -1/-3
➡ x = 1/3
★ Hence, the value of x is 1/3
Answer:
- The value of x is 1/3.
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