Use the cards below to create a list of steps, in order, that will solve the following equation.3(x+6)2=75Solution steps:Add 6 to both sidesDivide both sides by 3Divide both sides by 31Subtract 6 from both sidesSquare both sides\text{Take the square root of both sides}
Q. Use the cards below to create a list of steps, in order, that will solve the following equation.3(x+6)2=75Solution steps:Add 6 to both sidesDivide both sides by 3Divide both sides by 31Subtract 6 from both sidesSquare both sidesTake the square root of both sides
Isolate squared term: First, we need to isolate the squared term on one side of the equation. To do this, we divide both sides by 3.Calculation: 3(x+6)2=75⇒(x+6)2=375⇒(x+6)2=25
Take square root: Next, we take the square root of both sides to solve for x+6. Remember that taking the square root of both sides introduces a plus/minus (x can be + or -).Calculation: (x+6)2=±25⇒x+6=±5
Isolate x: Now, we need to isolate x by subtracting 6 from both sides of the equation.Calculation: x+6=±5⇒x=±5−6⇒x=−6+5 or x=−6−5
Simplify expressions: Finally, we simplify the expressions to find the two possible values for x.Calculation: x=−6+5⇒x=−1 and x=−6−5⇒x=−11
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