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Simplifying
5x2 + -18 + -35 = 0
Reorder the terms:
-18 + -35 + 5x2 = 0
Combine like terms: -18 + -35 = -53
-53 + 5x2 = 0
Solving
-53 + 5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '53' to each side of the equation.
-53 + 53 + 5x2 = 0 + 53
Combine like terms: -53 + 53 = 0
0 + 5x2 = 0 + 53
5x2 = 0 + 53
Combine like terms: 0 + 53 = 53
5x2 = 53
Divide each side by '5'.
x2 = 10.6
Simplifying
x2 = 10.6
Take the square root of each side:
x = {-3.255764119, 3.255764119}
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