How do you solve #|4m - 3| = | m + 6|#?

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Answer 1 · 2018-03-19T12:08:30

Solution : #m=3, m=-3/5#

# | 4m-3| = |m+6| # , squaring both sides we get

# ( 4m-3)^2 = (m+6)^2 # or

# 16m^2-24m+9 = m^2+12m+36 # or

# 16m^2-24m+9 -m^2-12m-36 =0# or

# 15m^2-36m-27 =0# or

# 5m^2-12m-9 =0# or

# 5m^2-15m+3m-9 =0# or

# 5m(m-3)+3(m-3)=0 or (m-3)(5m+3)=0# . Either

#m-3=0 or 5m+3=0 :. 5m=-3#

#:. m=3 or m=-3/5#

Solution : #m=3, m=-3/5# [Ans]