(M+3)(m-5)=(m-2)(m+5)

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Solution for (M+3)(m-5)=(m-2)(m+5) equation:



(+3)(M-5)=(M-2)(M+5)
We move all terms to the left:
(+3)(M-5)-((M-2)(M+5))=0
We add all the numbers together, and all the variables
3(M-5)-((M-2)(M+5))=0
We multiply parentheses
3M-((M-2)(M+5))-15=0
We multiply parentheses ..
-((+M^2+5M-2M-10))+3M-15=0
We calculate terms in parentheses: -((+M^2+5M-2M-10)), so:
(+M^2+5M-2M-10)
We get rid of parentheses
M^2+5M-2M-10
We add all the numbers together, and all the variables
M^2+3M-10
Back to the equation:
-(M^2+3M-10)
We add all the numbers together, and all the variables
3M-(M^2+3M-10)-15=0
We get rid of parentheses
-M^2+3M-3M+10-15=0
We add all the numbers together, and all the variables
-1M^2-5=0
a = -1; b = 0; c = -5;
Δ = b2-4ac
Δ = 02-4·(-1)·(-5)
Δ = -20
Delta is less than zero, so there is no solution for the equation

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