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Simplifying
x2 + x2 + 49 = 4x2 + -49
Reorder the terms:
49 + x2 + x2 = 4x2 + -49
Combine like terms: x2 + x2 = 2x2
49 + 2x2 = 4x2 + -49
Reorder the terms:
49 + 2x2 = -49 + 4x2
Solving
49 + 2x2 = -49 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
49 + 2x2 + -4x2 = -49 + 4x2 + -4x2
Combine like terms: 2x2 + -4x2 = -2x2
49 + -2x2 = -49 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
49 + -2x2 = -49 + 0
49 + -2x2 = -49
Add '-49' to each side of the equation.
49 + -49 + -2x2 = -49 + -49
Combine like terms: 49 + -49 = 0
0 + -2x2 = -49 + -49
-2x2 = -49 + -49
Combine like terms: -49 + -49 = -98
-2x2 = -98
Divide each side by '-2'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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