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Simplifying
2x2 + -44 = 3x2 + -78
Reorder the terms:
-44 + 2x2 = 3x2 + -78
Reorder the terms:
-44 + 2x2 = -78 + 3x2
Solving
-44 + 2x2 = -78 + 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.
-44 + 2x2 + -3x2 = -78 + 3x2 + -3x2
Combine like terms: 2x2 + -3x2 = -1x2
-44 + -1x2 = -78 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-44 + -1x2 = -78 + 0
-44 + -1x2 = -78
Add '44' to each side of the equation.
-44 + 44 + -1x2 = -78 + 44
Combine like terms: -44 + 44 = 0
0 + -1x2 = -78 + 44
-1x2 = -78 + 44
Combine like terms: -78 + 44 = -34
-1x2 = -34
Divide each side by '-1'.
x2 = 34
Simplifying
x2 = 34
Take the square root of each side:
x = {-5.830951895, 5.830951895}
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