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Simplifying
2x2 + -3 = x2 + 84
Reorder the terms:
-3 + 2x2 = x2 + 84
Reorder the terms:
-3 + 2x2 = 84 + x2
Solving
-3 + 2x2 = 84 + 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.
-3 + 2x2 + -1x2 = 84 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
-3 + 1x2 = 84 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-3 + 1x2 = 84 + 0
-3 + 1x2 = 84
Add '3' to each side of the equation.
-3 + 3 + 1x2 = 84 + 3
Combine like terms: -3 + 3 = 0
0 + 1x2 = 84 + 3
1x2 = 84 + 3
Combine like terms: 84 + 3 = 87
1x2 = 87
Divide each side by '1'.
x2 = 87
Simplifying
x2 = 87
Take the square root of each side:
x = {-9.327379053, 9.327379053}
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