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Simplifying
x2 + 50 = 25 + 2x2
Reorder the terms:
50 + x2 = 25 + 2x2
Solving
50 + x2 = 25 + 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.
50 + x2 + -2x2 = 25 + 2x2 + -2x2
Combine like terms: x2 + -2x2 = -1x2
50 + -1x2 = 25 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
50 + -1x2 = 25 + 0
50 + -1x2 = 25
Add '-50' to each side of the equation.
50 + -50 + -1x2 = 25 + -50
Combine like terms: 50 + -50 = 0
0 + -1x2 = 25 + -50
-1x2 = 25 + -50
Combine like terms: 25 + -50 = -25
-1x2 = -25
Divide each side by '-1'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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