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Simplifying
3x2 + -2x = 81 + -2x + -1x2
Reorder the terms:
-2x + 3x2 = 81 + -2x + -1x2
Add '2x' to each side of the equation.
-2x + 2x + 3x2 = 81 + -2x + 2x + -1x2
Combine like terms: -2x + 2x = 0
0 + 3x2 = 81 + -2x + 2x + -1x2
3x2 = 81 + -2x + 2x + -1x2
Combine like terms: -2x + 2x = 0
3x2 = 81 + 0 + -1x2
3x2 = 81 + -1x2
Solving
3x2 = 81 + -1x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x2' to each side of the equation.
3x2 + x2 = 81 + -1x2 + x2
Combine like terms: 3x2 + x2 = 4x2
4x2 = 81 + -1x2 + x2
Combine like terms: -1x2 + x2 = 0
4x2 = 81 + 0
4x2 = 81
Divide each side by '4'.
x2 = 20.25
Simplifying
x2 = 20.25
Take the square root of each side:
x = {-4.5, 4.5}
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