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Simplifying
6x2 + -55 = 3x2 + 20
Reorder the terms:
-55 + 6x2 = 3x2 + 20
Reorder the terms:
-55 + 6x2 = 20 + 3x2
Solving
-55 + 6x2 = 20 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
-55 + 6x2 + -3x2 = 20 + 3x2 + -3x2
Combine like terms: 6x2 + -3x2 = 3x2
-55 + 3x2 = 20 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-55 + 3x2 = 20 + 0
-55 + 3x2 = 20
Add '55' to each side of the equation.
-55 + 55 + 3x2 = 20 + 55
Combine like terms: -55 + 55 = 0
0 + 3x2 = 20 + 55
3x2 = 20 + 55
Combine like terms: 20 + 55 = 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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