(x-5)(x+5)=24

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Solution for (x-5)(x+5)=24 equation: 


Simplifying
(x + -5)(x + 5) = 24

Reorder the terms:
(-5 + x)(x + 5) = 24

Reorder the terms:
(-5 + x)(5 + x) = 24

Multiply (-5 + x) * (5 + x)
(-5(5 + x) + x(5 + x)) = 24
((5 * -5 + x * -5) + x(5 + x)) = 24
((-25 + -5x) + x(5 + x)) = 24
(-25 + -5x + (5 * x + x * x)) = 24
(-25 + -5x + (5x + x2)) = 24

Combine like terms: -5x + 5x = 0
(-25 + 0 + x2) = 24
(-25 + x2) = 24

Solving
-25 + x2 = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '25' to each side of the equation.
-25 + 25 + x2 = 24 + 25

Combine like terms: -25 + 25 = 0
0 + x2 = 24 + 25
x2 = 24 + 25

Combine like terms: 24 + 25 = 49
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}

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