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Simplifying
3x2 + -27 = 480
Reorder the terms:
-27 + 3x2 = 480
Solving
-27 + 3x2 = 480
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + 3x2 = 480 + 27
Combine like terms: -27 + 27 = 0
0 + 3x2 = 480 + 27
3x2 = 480 + 27
Combine like terms: 480 + 27 = 507
3x2 = 507
Divide each side by '3'.
x2 = 169
Simplifying
x2 = 169
Take the square root of each side:
x = {-13, 13}
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