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Simplifying
-5x2 + 240 = 0
Reorder the terms:
240 + -5x2 = 0
Solving
240 + -5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-240' to each side of the equation.
240 + -240 + -5x2 = 0 + -240
Combine like terms: 240 + -240 = 0
0 + -5x2 = 0 + -240
-5x2 = 0 + -240
Combine like terms: 0 + -240 = -240
-5x2 = -240
Divide each side by '-5'.
x2 = 48
Simplifying
x2 = 48
Take the square root of each side:
x = {-6.92820323, 6.92820323}
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