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Simplifying
4x2 + 28 + -120 = 0
Reorder the terms:
28 + -120 + 4x2 = 0
Combine like terms: 28 + -120 = -92
-92 + 4x2 = 0
Solving
-92 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '92' to each side of the equation.
-92 + 92 + 4x2 = 0 + 92
Combine like terms: -92 + 92 = 0
0 + 4x2 = 0 + 92
4x2 = 0 + 92
Combine like terms: 0 + 92 = 92
4x2 = 92
Divide each side by '4'.
x2 = 23
Simplifying
x2 = 23
Take the square root of each side:
x = {-4.795831523, 4.795831523}