Solve using the Square Root Property 16x^2-56x+49=0

Math
16×2-56x+49=0
Factor using the perfect square rule.
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Rewrite 16×2 as (4x)2.
(4x)2-56x+49=0
Rewrite 49 as 72.
(4x)2-56x+72=0
Check the middle term by multiplying 2ab and compare this result with the middle term in the original expression.
2ab=2⋅(4x)⋅-7
Simplify.
2ab=-56x
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=4x and b=-7.
(4x-7)2=0
(4x-7)2=0
Set the 4x-7 equal to 0.
4x-7=0
Solve for x.
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Add 7 to both sides of the equation.
4x=7
Divide each term by 4 and simplify.
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Divide each term in 4x=7 by 4.
4×4=74
Cancel the common factor of 4.
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Cancel the common factor.
4×4=74
Divide x by 1.
x=74
x=74
x=74
x=74
Solve using the Square Root Property 16x^2-56x+49=0

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