Solve Using the Square Root Property 36x^2-84x+49=0

Math
36×2-84x+49=0
Factor using the perfect square rule.
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Rewrite 36×2 as (6x)2.
(6x)2-84x+49=0
Rewrite 49 as 72.
(6x)2-84x+72=0
Check the middle term by multiplying 2ab and compare this result with the middle term in the original expression.
2ab=2⋅(6x)⋅-7
Simplify.
2ab=-84x
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=6x and b=-7.
(6x-7)2=0
(6x-7)2=0
Set the 6x-7 equal to 0.
6x-7=0
Solve for x.
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Add 7 to both sides of the equation.
6x=7
Divide each term by 6 and simplify.
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Divide each term in 6x=7 by 6.
6×6=76
Cancel the common factor of 6.
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Cancel the common factor.
6×6=76
Divide x by 1.
x=76
x=76
x=76
x=76
Solve Using the Square Root Property 36x^2-84x+49=0

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