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Simplifying
4x2 + -72 = 0
Reorder the terms:
-72 + 4x2 = 0
Solving
-72 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '72' to each side of the equation.
-72 + 72 + 4x2 = 0 + 72
Combine like terms: -72 + 72 = 0
0 + 4x2 = 0 + 72
4x2 = 0 + 72
Combine like terms: 0 + 72 = 72
4x2 = 72
Divide each side by '4'.
x2 = 18
Simplifying
x2 = 18
Take the square root of each side:
x = {-4.242640687, 4.242640687}
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