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Simplifying
24X2 + -10 = 20X2 + 8
Reorder the terms:
-10 + 24X2 = 20X2 + 8
Reorder the terms:
-10 + 24X2 = 8 + 20X2
Solving
-10 + 24X2 = 8 + 20X2
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-20X2' to each side of the equation.
-10 + 24X2 + -20X2 = 8 + 20X2 + -20X2
Combine like terms: 24X2 + -20X2 = 4X2
-10 + 4X2 = 8 + 20X2 + -20X2
Combine like terms: 20X2 + -20X2 = 0
-10 + 4X2 = 8 + 0
-10 + 4X2 = 8
Add '10' to each side of the equation.
-10 + 10 + 4X2 = 8 + 10
Combine like terms: -10 + 10 = 0
0 + 4X2 = 8 + 10
4X2 = 8 + 10
Combine like terms: 8 + 10 = 18
4X2 = 18
Divide each side by '4'.
X2 = 4.5
Simplifying
X2 = 4.5
Take the square root of each side:
X = {-2.121320344, 2.121320344}
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