You can put this solution on YOUR website! Given:
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One of the first things you can notice in the given equation is that all the terms on the
left side contain the variable "m". You can factor it out and the equation becomes:
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Notice now that the left side has two factors that multiply each other. If either of these
factors is equal to zero, the left side of the equation will have one factor multiplied
by zero. Therefore, the left side will equal the right side.
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So we have two possible solutions to this equation. Either m = 0 or the other factor
(9m + 11) equals zero.
. is one solution. The other solution we get by setting 9m + 11 equal to zero:
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Subtract 11 from both sides of the equation and you get:
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Finally, divide both sides of this equation by 9, the multiplier of x, and you get:
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which simplifies to:
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So the two answers to this problem are and
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Hope this helps you to understand one way (factoring) of solving quadratic equations
(equations where the highest power of the variable is 2).
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