Question
Solve the equation
Solve for x
Solve for m
x=21+13+16mx=21−13+16m
Evaluate
x2−3m−x−m−3=0
Subtract the terms
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Evaluate
−3m−m
Collect like terms by calculating the sum or difference of their coefficients
(−3−1)m
Subtract the numbers
−4m
x2−4m−x−3=0
Rewrite the expression
x2−4m−3−x=0
Rewrite in standard form
x2−x−4m−3=0
Substitute a=1,b=−1 and c=−4m−3 into the quadratic formula x=2a−b±b2−4ac
x=21±(−1)2−4(−4m−3)
Simplify the expression
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Evaluate
(−1)2−4(−4m−3)
Evaluate the power
1−4(−4m−3)
Multiply the terms
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Evaluate
4(−4m−3)
Apply the distributive property
−4×4m−4×3
Multiply the terms
−16m−4×3
Multiply the numbers
−16m−12
1−(−16m−12)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1+16m+12
Add the numbers
13+16m
x=21±13+16m
Solution
x=21+13+16mx=21−13+16m
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