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Simplifying
4x2 + 72 + -1120 = 0
Reorder the terms:
72 + -1120 + 4x2 = 0
Combine like terms: 72 + -1120 = -1048
-1048 + 4x2 = 0
Solving
-1048 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1048' to each side of the equation.
-1048 + 1048 + 4x2 = 0 + 1048
Combine like terms: -1048 + 1048 = 0
0 + 4x2 = 0 + 1048
4x2 = 0 + 1048
Combine like terms: 0 + 1048 = 1048
4x2 = 1048
Divide each side by '4'.
x2 = 262
Simplifying
x2 = 262
Take the square root of each side:
x = {-16.186414056, 16.186414056}
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