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Simplifying
3x2 + 22 = 4x2 + 9
Reorder the terms:
22 + 3x2 = 4x2 + 9
Reorder the terms:
22 + 3x2 = 9 + 4x2
Solving
22 + 3x2 = 9 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
22 + 3x2 + -4x2 = 9 + 4x2 + -4x2
Combine like terms: 3x2 + -4x2 = -1x2
22 + -1x2 = 9 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
22 + -1x2 = 9 + 0
22 + -1x2 = 9
Add '-22' to each side of the equation.
22 + -22 + -1x2 = 9 + -22
Combine like terms: 22 + -22 = 0
0 + -1x2 = 9 + -22
-1x2 = 9 + -22
Combine like terms: 9 + -22 = -13
-1x2 = -13
Divide each side by '-1'.
x2 = 13
Simplifying
x2 = 13
Take the square root of each side:
x = {-3.605551275, 3.605551275}
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