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Simplifying
3x2 + -17 = 2x2 + 15
Reorder the terms:
-17 + 3x2 = 2x2 + 15
Reorder the terms:
-17 + 3x2 = 15 + 2x2
Solving
-17 + 3x2 = 15 + 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.
-17 + 3x2 + -2x2 = 15 + 2x2 + -2x2
Combine like terms: 3x2 + -2x2 = 1x2
-17 + 1x2 = 15 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
-17 + 1x2 = 15 + 0
-17 + 1x2 = 15
Add '17' to each side of the equation.
-17 + 17 + 1x2 = 15 + 17
Combine like terms: -17 + 17 = 0
0 + 1x2 = 15 + 17
1x2 = 15 + 17
Combine like terms: 15 + 17 = 32
1x2 = 32
Divide each side by '1'.
x2 = 32
Simplifying
x2 = 32
Take the square root of each side:
x = {-5.656854249, 5.656854249}
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