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Simplifying
2x2 + 3x2 + -5 = 0
Reorder the terms:
-5 + 2x2 + 3x2 = 0
Combine like terms: 2x2 + 3x2 = 5x2
-5 + 5x2 = 0
Solving
-5 + 5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 5x2 = 0 + 5
Combine like terms: -5 + 5 = 0
0 + 5x2 = 0 + 5
5x2 = 0 + 5
Combine like terms: 0 + 5 = 5
5x2 = 5
Divide each side by '5'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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