Question
Factor the expression
7(x−6)(x+6)
Evaluate
7x2−252
Factor out 7 from the expression
7(x2−36)
Solution
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Evaluate
x2−36
Rewrite the expression in exponential form
x2−62
Use a2−b2=(a−b)(a+b) to factor the expression
(x−6)(x+6)
7(x−6)(x+6)
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Find the roots
x1=−6,x2=6
Evaluate
7x2−252
To find the roots of the expression,set the expression equal to 0
7x2−252=0
Move the constant to the right-hand side and change its sign
7x2=0+252
Removing 0 doesn't change the value,so remove it from the expression
7x2=252
Divide both sides
77x2=7252
Divide the numbers
x2=7252
Divide the numbers
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Evaluate
7252
Reduce the numbers
136
Calculate
36
x2=36
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±36
Simplify the expression
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Evaluate
36
Write the number in exponential form with the base of 6
62
Reduce the index of the radical and exponent with 2
6
x=±6
Separate the equation into 2 possible cases
x=6x=−6
Solution
x1=−6,x2=6
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