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Simplifying
24 = (x + 5)(x + -5)
Reorder the terms:
24 = (5 + x)(x + -5)
Reorder the terms:
24 = (5 + x)(-5 + x)
Multiply (5 + x) * (-5 + x)
24 = (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))
Combine like terms: 5x + -5x = 0
24 = (-25 + 0 + x2)
24 = (-25 + x2)
Solving
24 = -25 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
24 + -1x2 = -25 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
24 + -1x2 = -25 + 0
24 + -1x2 = -25
Add '-24' to each side of the equation.
24 + -24 + -1x2 = -25 + -24
Combine like terms: 24 + -24 = 0
0 + -1x2 = -25 + -24
-1x2 = -25 + -24
Combine like terms: -25 + -24 = -49
-1x2 = -49
Divide each side by '-1'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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