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Simplifying
5x2 + -13 = 12
Reorder the terms:
-13 + 5x2 = 12
Solving
-13 + 5x2 = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + 5x2 = 12 + 13
Combine like terms: -13 + 13 = 0
0 + 5x2 = 12 + 13
5x2 = 12 + 13
Combine like terms: 12 + 13 = 25
5x2 = 25
Divide each side by '5'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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