Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
m1=−21,m2=27
Evaluate
−4∣6−2m∣−7=−19
Use b−a=−ba=−ba to rewrite the fraction
−4∣6−2m∣−7=−19
Move the constant to the right-hand side and change its sign
−4∣6−2m∣=−19+7
Add the numbers
−4∣6−2m∣=−12
Rewrite the expression
4−∣6−2m∣=−12
Cross multiply
−∣6−2m∣=4(−12)
Simplify the equation
−∣6−2m∣=−48
Calculate
∣6−2m∣=48
Separate the equation into 2 possible cases
6−2m=486−2m=−48
Solve the equation for m
More Steps
Evaluate
6−2m=48
Move the constant to the right-hand side and change its sign
−2m=48−6
Subtract the numbers
−2m=42
Change the signs on both sides of the equation
2m=−42
Divide both sides
22m=2−42
Divide the numbers
m=2−42
Divide the numbers
More Steps
Evaluate
2−42
Reduce the numbers
1−21
Calculate
−21
m=−21
m=−216−2m=−48
Solve the equation for m
More Steps
Evaluate
6−2m=−48
Move the constant to the right-hand side and change its sign
−2m=−48−6
Subtract the numbers
−2m=−54
Change the signs on both sides of the equation
2m=54
Divide both sides
22m=254
Divide the numbers
m=254
Divide the numbers
More Steps
Evaluate
254
Reduce the numbers
127
Calculate
27
m=27
m=−21m=27
Solution
m1=−21,m2=27
Show Solution
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