(15+X)(44+X)=(29+X)(23+X)
value of X?
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Given:
(15 + x)(44 + x) = (29 + x)(23 + x)
Step-by-step explanation:
⇒ Expand each sides.
⇒ Subtract x² from each sides.
⇒ Subtract 52x + 660 from both sides.
⇒ When we get 7x = 7, divide both sides by 7.
⇒ Thus the answer is 1.
Method:
⇒ (15 + x)(44 + x) = (29 + x)(23 + x)
⇒ 660 + 59x + x² = 667 + 52x + x²
⇒ 660 + 59x = 667 + 52x
⇒ 660 + 59x - (52x + 660) = 667 + 52x - (52x + 660)
⇒ 660 + 59x - 52x - 660 = 667 + 52x - 52x - 660
⇒ 7x = 7
⇒ x = 1.
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