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Simplifying
3x2 + -10 = x2 + 214
Reorder the terms:
-10 + 3x2 = x2 + 214
Reorder the terms:
-10 + 3x2 = 214 + x2
Solving
-10 + 3x2 = 214 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
-10 + 3x2 + -1x2 = 214 + x2 + -1x2
Combine like terms: 3x2 + -1x2 = 2x2
-10 + 2x2 = 214 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-10 + 2x2 = 214 + 0
-10 + 2x2 = 214
Add '10' to each side of the equation.
-10 + 10 + 2x2 = 214 + 10
Combine like terms: -10 + 10 = 0
0 + 2x2 = 214 + 10
2x2 = 214 + 10
Combine like terms: 214 + 10 = 224
2x2 = 224
Divide each side by '2'.
x2 = 112
Simplifying
x2 = 112
Take the square root of each side:
x = {-10.583005244, 10.583005244}
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