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Simplifying
3x + -5x2 + 2 = 3x
Reorder the terms:
2 + 3x + -5x2 = 3x
Add '-3x' to each side of the equation.
2 + 3x + -3x + -5x2 = 3x + -3x
Combine like terms: 3x + -3x = 0
2 + 0 + -5x2 = 3x + -3x
2 + -5x2 = 3x + -3x
Combine like terms: 3x + -3x = 0
2 + -5x2 = 0
Solving
2 + -5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -5x2 = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -5x2 = 0 + -2
-5x2 = 0 + -2
Combine like terms: 0 + -2 = -2
-5x2 = -2
Divide each side by '-5'.
x2 = 0.4
Simplifying
x2 = 0.4
Take the square root of each side:
x = {-0.632455532, 0.632455532}
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