# Factor completely: 4x^2-100 | StudyDaddy.com

x = +5, -5
It is both plus and negative 5 because if either of those numbers is squared, the answer is 25.

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To factor the equation ##4x^2 – 100 ##
1) Figure out what method or way could be used in this equation to simplify the numbers.

WE CAN FIND make the equation into a problem to solve for x
## 4x^2 = 100## because 100 is added on each side of the equation## 4x^2 cancel(-100 + 100) = 100##

2) Your equation should now look like ##4x^2 = 100##
to solve for x, try to get the coefficient on its own as a lone variable by dividing both sides by 4.

## (cancel(4)x^2)/cancel(4) = cancel(100/4##

3) You should be left with an answer of ##x^2 = 25## because ##100/4 = 25##

4) Final step, to find x, calculate the square root of both sides
##sqrt(x^2 )= sqrt(25##

x = +5, -5
It is both plus and negative 5 because if either of those numbers is squared, the answer is 25.

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