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Simplifying
3x2 + 121 = 7x2
Reorder the terms:
121 + 3x2 = 7x2
Solving
121 + 3x2 = 7x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x2' to each side of the equation.
121 + 3x2 + -7x2 = 7x2 + -7x2
Combine like terms: 3x2 + -7x2 = -4x2
121 + -4x2 = 7x2 + -7x2
Combine like terms: 7x2 + -7x2 = 0
121 + -4x2 = 0
Add '-121' to each side of the equation.
121 + -121 + -4x2 = 0 + -121
Combine like terms: 121 + -121 = 0
0 + -4x2 = 0 + -121
-4x2 = 0 + -121
Combine like terms: 0 + -121 = -121
-4x2 = -121
Divide each side by '-4'.
x2 = 30.25
Simplifying
x2 = 30.25
Take the square root of each side:
x = {-5.5, 5.5}
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