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Simplifying
3x2 + 8 = 5x2
Reorder the terms:
8 + 3x2 = 5x2
Solving
8 + 3x2 = 5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x2' to each side of the equation.
8 + 3x2 + -5x2 = 5x2 + -5x2
Combine like terms: 3x2 + -5x2 = -2x2
8 + -2x2 = 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
8 + -2x2 = 0
Add '-8' to each side of the equation.
8 + -8 + -2x2 = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -2x2 = 0 + -8
-2x2 = 0 + -8
Combine like terms: 0 + -8 = -8
-2x2 = -8
Divide each side by '-2'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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