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Simplifying
3x2 + -305 = -2x2 + 195
Reorder the terms:
-305 + 3x2 = -2x2 + 195
Reorder the terms:
-305 + 3x2 = 195 + -2x2
Solving
-305 + 3x2 = 195 + -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.
-305 + 3x2 + 2x2 = 195 + -2x2 + 2x2
Combine like terms: 3x2 + 2x2 = 5x2
-305 + 5x2 = 195 + -2x2 + 2x2
Combine like terms: -2x2 + 2x2 = 0
-305 + 5x2 = 195 + 0
-305 + 5x2 = 195
Add '305' to each side of the equation.
-305 + 305 + 5x2 = 195 + 305
Combine like terms: -305 + 305 = 0
0 + 5x2 = 195 + 305
5x2 = 195 + 305
Combine like terms: 195 + 305 = 500
5x2 = 500
Divide each side by '5'.
x2 = 100
Simplifying
x2 = 100
Take the square root of each side:
x = {-10, 10}
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