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Simplifying
4x2 + -48 + -144 = 0
Reorder the terms:
-48 + -144 + 4x2 = 0
Combine like terms: -48 + -144 = -192
-192 + 4x2 = 0
Solving
-192 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '192' to each side of the equation.
-192 + 192 + 4x2 = 0 + 192
Combine like terms: -192 + 192 = 0
0 + 4x2 = 0 + 192
4x2 = 0 + 192
Combine like terms: 0 + 192 = 192
4x2 = 192
Divide each side by '4'.
x2 = 48
Simplifying
x2 = 48
Take the square root of each side:
x = {-6.92820323, 6.92820323}
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