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Simplifying
8x2 + -24 = 3x2 + -9
Reorder the terms:
-24 + 8x2 = 3x2 + -9
Reorder the terms:
-24 + 8x2 = -9 + 3x2
Solving
-24 + 8x2 = -9 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
-24 + 8x2 + -3x2 = -9 + 3x2 + -3x2
Combine like terms: 8x2 + -3x2 = 5x2
-24 + 5x2 = -9 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-24 + 5x2 = -9 + 0
-24 + 5x2 = -9
Add '24' to each side of the equation.
-24 + 24 + 5x2 = -9 + 24
Combine like terms: -24 + 24 = 0
0 + 5x2 = -9 + 24
5x2 = -9 + 24
Combine like terms: -9 + 24 = 15
5x2 = 15
Divide each side by '5'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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