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Simplifying
3x2 + 5 = 6x2 + -20
Reorder the terms:
5 + 3x2 = 6x2 + -20
Reorder the terms:
5 + 3x2 = -20 + 6x2
Solving
5 + 3x2 = -20 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
5 + 3x2 + -6x2 = -20 + 6x2 + -6x2
Combine like terms: 3x2 + -6x2 = -3x2
5 + -3x2 = -20 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
5 + -3x2 = -20 + 0
5 + -3x2 = -20
Add '-5' to each side of the equation.
5 + -5 + -3x2 = -20 + -5
Combine like terms: 5 + -5 = 0
0 + -3x2 = -20 + -5
-3x2 = -20 + -5
Combine like terms: -20 + -5 = -25
-3x2 = -25
Divide each side by '-3'.
x2 = 8.333333333
Simplifying
x2 = 8.333333333
Take the square root of each side:
x = {-2.886751346, 2.886751346}
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