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Simplifying
5x2 + 30 + -60 = 0
Reorder the terms:
30 + -60 + 5x2 = 0
Combine like terms: 30 + -60 = -30
-30 + 5x2 = 0
Solving
-30 + 5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + 30 + 5x2 = 0 + 30
Combine like terms: -30 + 30 = 0
0 + 5x2 = 0 + 30
5x2 = 0 + 30
Combine like terms: 0 + 30 = 30
5x2 = 30
Divide each side by '5'.
x2 = 6
Simplifying
x2 = 6
Take the square root of each side:
x = {-2.449489743, 2.449489743}
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