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Simplifying
6x2 + -27 = 5x2 + 73
Reorder the terms:
-27 + 6x2 = 5x2 + 73
Reorder the terms:
-27 + 6x2 = 73 + 5x2
Solving
-27 + 6x2 = 73 + 5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x2' to each side of the equation.
-27 + 6x2 + -5x2 = 73 + 5x2 + -5x2
Combine like terms: 6x2 + -5x2 = 1x2
-27 + 1x2 = 73 + 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
-27 + 1x2 = 73 + 0
-27 + 1x2 = 73
Add '27' to each side of the equation.
-27 + 27 + 1x2 = 73 + 27
Combine like terms: -27 + 27 = 0
0 + 1x2 = 73 + 27
1x2 = 73 + 27
Combine like terms: 73 + 27 = 100
1x2 = 100
Divide each side by '1'.
x2 = 100
Simplifying
x2 = 100
Take the square root of each side:
x = {-10, 10}
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