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Simplifying
24x + -4x + 6x2 = 3x2 + 1 + 20x
Combine like terms: 24x + -4x = 20x
20x + 6x2 = 3x2 + 1 + 20x
Reorder the terms:
20x + 6x2 = 1 + 20x + 3x2
Add '-20x' to each side of the equation.
20x + -20x + 6x2 = 1 + 20x + -20x + 3x2
Combine like terms: 20x + -20x = 0
0 + 6x2 = 1 + 20x + -20x + 3x2
6x2 = 1 + 20x + -20x + 3x2
Combine like terms: 20x + -20x = 0
6x2 = 1 + 0 + 3x2
6x2 = 1 + 3x2
Solving
6x2 = 1 + 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.
6x2 + -3x2 = 1 + 3x2 + -3x2
Combine like terms: 6x2 + -3x2 = 3x2
3x2 = 1 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
3x2 = 1 + 0
3x2 = 1
Divide each side by '3'.
x2 = 0.3333333333
Simplifying
x2 = 0.3333333333
Take the square root of each side:
x = {-0.577350269, 0.577350269}
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