Question
Solve the following equation:
x−17x−14=x−37x−26
Solve the following equation:
x−17x−14=x−37x−26
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Solution
x−17x−14=x−37x−26⇒ (x−1)(7x−26)=(7x−14)(x−3)⇒ 7x2−7x−26x+26=7x2−14x−21x+42⇒ −33x+26=−35x+4x⇒ 35x−33x=42−26⇒ 2x=16⇒ x=8
x−17x−14=x−37x−26⇒ (x−1)(7x−26)=(7x−14)(x−3)⇒ 7x2−7x−26x+26=7x2−14x−21x+42⇒ −33x+26=−35x+4x⇒ 35x−33x=42−26⇒ 2x=16⇒ x=8
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