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Simplifying
5x2 + 8 = 35 + 2x2
Reorder the terms:
8 + 5x2 = 35 + 2x2
Solving
8 + 5x2 = 35 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
8 + 5x2 + -2x2 = 35 + 2x2 + -2x2
Combine like terms: 5x2 + -2x2 = 3x2
8 + 3x2 = 35 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
8 + 3x2 = 35 + 0
8 + 3x2 = 35
Add '-8' to each side of the equation.
8 + -8 + 3x2 = 35 + -8
Combine like terms: 8 + -8 = 0
0 + 3x2 = 35 + -8
3x2 = 35 + -8
Combine like terms: 35 + -8 = 27
3x2 = 27
Divide each side by '3'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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