5x²=15x what would be the answer for this equation pertaining to the answer to having x=?
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5x² = 15x
Here 5 can divide both the sides.
x² = 3x
(On dividing both sides by x, we may lose a possible solution for the equation that "x = 0", so we don't get all the solutions for such equations. So strictly said not to divide both sides by x in such equations.)
3x is subtracted from both sides.
x² - 3x = 0
x can be taken as common in the LHS.
x(x - 3) = 0
This implies,
(1) x = 0
(2) x = 3
These two values for x satisfy the condition 5x² = 15x.
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