Question
Solve the equation
Solve for x
Solve for m
x=0x=m−280m
Evaluate
(m−2)x2−5mx×16=0
Simplify
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Evaluate
(m−2)x2−5mx×16
Multiply the terms
x2(m−2)−5mx×16
Multiply the terms
x2(m−2)−80mx
x2(m−2)−80mx=0
Rewrite the expression
(m−2)x2−80mx=0
Expand the expression
mx2−2x2−80mx=0
Factor the expression
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Evaluate
mx2−2x2−80mx
Calculate
(m−2)x2−80mx
Rewrite the expression
x(m−2)x−x×80m
Factor out x from the expression
x((m−2)x−80m)
x((m−2)x−80m)=0
When the product of factors equals 0,at least one factor is 0
x=0(m−2)x−80m=0
Solution
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Evaluate
(m−2)x−80m=0
Move the expression to the right-hand side and change its sign
(m−2)x=0+80m
Add the terms
(m−2)x=80m
Divide both sides
m−2(m−2)x=m−280m
Divide the numbers
x=m−280m
x=0x=m−280m
Show Solution
