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Simplifying
0 = 2x2 + x + 2x2 + -1x + -1
Reorder the terms:
0 = -1 + x + -1x + 2x2 + 2x2
Combine like terms: x + -1x = 0
0 = -1 + 0 + 2x2 + 2x2
0 = -1 + 2x2 + 2x2
Combine like terms: 2x2 + 2x2 = 4x2
0 = -1 + 4x2
Solving
0 = -1 + 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.
0 + -4x2 = -1 + 4x2 + -4x2
Remove the zero:
-4x2 = -1 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-4x2 = -1 + 0
-4x2 = -1
Divide each side by '-4'.
x2 = 0.25
Simplifying
x2 = 0.25
Take the square root of each side:
x = {-0.5, 0.5}
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