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Simplifying
2x2 + -54 = 18 + -4x2
Reorder the terms:
-54 + 2x2 = 18 + -4x2
Solving
-54 + 2x2 = 18 + -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.
-54 + 2x2 + 4x2 = 18 + -4x2 + 4x2
Combine like terms: 2x2 + 4x2 = 6x2
-54 + 6x2 = 18 + -4x2 + 4x2
Combine like terms: -4x2 + 4x2 = 0
-54 + 6x2 = 18 + 0
-54 + 6x2 = 18
Add '54' to each side of the equation.
-54 + 54 + 6x2 = 18 + 54
Combine like terms: -54 + 54 = 0
0 + 6x2 = 18 + 54
6x2 = 18 + 54
Combine like terms: 18 + 54 = 72
6x2 = 72
Divide each side by '6'.
x2 = 12
Simplifying
x2 = 12
Take the square root of each side:
x = {-3.464101615, 3.464101615}
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