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Simplifying
3x2 + 67 = 5x2 + 17
Reorder the terms:
67 + 3x2 = 5x2 + 17
Reorder the terms:
67 + 3x2 = 17 + 5x2
Solving
67 + 3x2 = 17 + 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.
67 + 3x2 + -5x2 = 17 + 5x2 + -5x2
Combine like terms: 3x2 + -5x2 = -2x2
67 + -2x2 = 17 + 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
67 + -2x2 = 17 + 0
67 + -2x2 = 17
Add '-67' to each side of the equation.
67 + -67 + -2x2 = 17 + -67
Combine like terms: 67 + -67 = 0
0 + -2x2 = 17 + -67
-2x2 = 17 + -67
Combine like terms: 17 + -67 = -50
-2x2 = -50
Divide each side by '-2'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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