Divide each term by 2 and simplify.
Divide each term in 2x(x+1)=12 by 2.
Cancel the common factor of 2.
Cancel the common factor.
Divide x(x+1) by 1.
Apply the distributive property.
Simplify the expression.
Multiply x by x.
Multiply x by 1.
Divide 12 by 2.
Move 6 to the left side of the equation by subtracting it from both sides.
Factor x2+x-6 using the AC method.
Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -6 and whose sum is 1.
Write the factored form using these integers.
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
Add 2 to both sides of the equation.
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
Subtract 3 from both sides of the equation.
The final solution is all the values that make (x-2)(x+3)=0 true.
Solve Using the Square Root Property 2x(x+1)=12