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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 = 21
3x2 = 21
Divide each side by '3'.
x2 = 7
Simplifying
x2 = 7
Take the square root of each side:
x = {-2.645751311, 2.645751311}
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