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Simplifying
4x2 + -324 = 0
Reorder the terms:
-324 + 4x2 = 0
Solving
-324 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '324' to each side of the equation.
-324 + 324 + 4x2 = 0 + 324
Combine like terms: -324 + 324 = 0
0 + 4x2 = 0 + 324
4x2 = 0 + 324
Combine like terms: 0 + 324 = 324
4x2 = 324
Divide each side by '4'.
x2 = 81
Simplifying
x2 = 81
Take the square root of each side:
x = {-9, 9}
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