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Simplifying
5x2 + -27 = 2x2 + 48
Reorder the terms:
-27 + 5x2 = 2x2 + 48
Reorder the terms:
-27 + 5x2 = 48 + 2x2
Solving
-27 + 5x2 = 48 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
-27 + 5x2 + -2x2 = 48 + 2x2 + -2x2
Combine like terms: 5x2 + -2x2 = 3x2
-27 + 3x2 = 48 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
-27 + 3x2 = 48 + 0
-27 + 3x2 = 48
Add '27' to each side of the equation.
-27 + 27 + 3x2 = 48 + 27
Combine like terms: -27 + 27 = 0
0 + 3x2 = 48 + 27
3x2 = 48 + 27
Combine like terms: 48 + 27 = 75
3x2 = 75
Divide each side by '3'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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