Answer:

Let's solve your equation step-by-step.

(2m−3)2=121

Step 1: Simplify both sides of the equation.

4m2−12m+9=121

Step 2: Subtract 121 from both sides.

4m2−12m+9−121=121−121

4m2−12m−112=0

Step 3: Factor left side of equation.

4(m+4)(m−7)=0

Step 4: Set factors equal to 0.

m+4=0 or m−7=0

m=−4 or m=7

Answer:

m=−4 or m=7

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