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Simplifying
3x2 + -4 = 20 + -2x2
Reorder the terms:
-4 + 3x2 = 20 + -2x2
Solving
-4 + 3x2 = 20 + -2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x2' to each side of the equation.
-4 + 3x2 + 2x2 = 20 + -2x2 + 2x2
Combine like terms: 3x2 + 2x2 = 5x2
-4 + 5x2 = 20 + -2x2 + 2x2
Combine like terms: -2x2 + 2x2 = 0
-4 + 5x2 = 20 + 0
-4 + 5x2 = 20
Add '4' to each side of the equation.
-4 + 4 + 5x2 = 20 + 4
Combine like terms: -4 + 4 = 0
0 + 5x2 = 20 + 4
5x2 = 20 + 4
Combine like terms: 20 + 4 = 24
5x2 = 24
Divide each side by '5'.
x2 = 4.8
Simplifying
x2 = 4.8
Take the square root of each side:
x = {-2.19089023, 2.19089023}
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