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Simplifying
5x2 + -8 = 112
Reorder the terms:
-8 + 5x2 = 112
Solving
-8 + 5x2 = 112
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 5x2 = 112 + 8
Combine like terms: -8 + 8 = 0
0 + 5x2 = 112 + 8
5x2 = 112 + 8
Combine like terms: 112 + 8 = 120
5x2 = 120
Divide each side by '5'.
x2 = 24
Simplifying
x2 = 24
Take the square root of each side:
x = {-4.898979486, 4.898979486}
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