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Simplifying
5x2 + -78 = 48
Reorder the terms:
-78 + 5x2 = 48
Solving
-78 + 5x2 = 48
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '78' to each side of the equation.
-78 + 78 + 5x2 = 48 + 78
Combine like terms: -78 + 78 = 0
0 + 5x2 = 48 + 78
5x2 = 48 + 78
Combine like terms: 48 + 78 = 126
5x2 = 126
Divide each side by '5'.
x2 = 25.2
Simplifying
x2 = 25.2
Take the square root of each side:
x = {-5.019960159, 5.019960159}
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