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Simplifying
2x2 + 3x + -5 = 3x
Reorder the terms:
-5 + 3x + 2x2 = 3x
Add '-3x' to each side of the equation.
-5 + 3x + -3x + 2x2 = 3x + -3x
Combine like terms: 3x + -3x = 0
-5 + 0 + 2x2 = 3x + -3x
-5 + 2x2 = 3x + -3x
Combine like terms: 3x + -3x = 0
-5 + 2x2 = 0
Solving
-5 + 2x2 = 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 + 2x2 = 0 + 5
Combine like terms: -5 + 5 = 0
0 + 2x2 = 0 + 5
2x2 = 0 + 5
Combine like terms: 0 + 5 = 5
2x2 = 5
Divide each side by '2'.
x2 = 2.5
Simplifying
x2 = 2.5
Take the square root of each side:
x = {-1.58113883, 1.58113883}
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