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Simplifying
x2 + -3 = -3x2 + 8
Reorder the terms:
-3 + x2 = -3x2 + 8
Reorder the terms:
-3 + x2 = 8 + -3x2
Solving
-3 + x2 = 8 + -3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x2' to each side of the equation.
-3 + x2 + 3x2 = 8 + -3x2 + 3x2
Combine like terms: x2 + 3x2 = 4x2
-3 + 4x2 = 8 + -3x2 + 3x2
Combine like terms: -3x2 + 3x2 = 0
-3 + 4x2 = 8 + 0
-3 + 4x2 = 8
Add '3' to each side of the equation.
-3 + 3 + 4x2 = 8 + 3
Combine like terms: -3 + 3 = 0
0 + 4x2 = 8 + 3
4x2 = 8 + 3
Combine like terms: 8 + 3 = 11
4x2 = 11
Divide each side by '4'.
x2 = 2.75
Simplifying
x2 = 2.75
Take the square root of each side:
x = {-1.658312395, 1.658312395}
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