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Simplifying
4 + 2x2 + -3 + -5x2 + 8 = 0
Reorder the terms:
4 + -3 + 8 + 2x2 + -5x2 = 0
Combine like terms: 4 + -3 = 1
1 + 8 + 2x2 + -5x2 = 0
Combine like terms: 1 + 8 = 9
9 + 2x2 + -5x2 = 0
Combine like terms: 2x2 + -5x2 = -3x2
9 + -3x2 = 0
Solving
9 + -3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + -3x2 = 0 + -9
Combine like terms: 9 + -9 = 0
0 + -3x2 = 0 + -9
-3x2 = 0 + -9
Combine like terms: 0 + -9 = -9
-3x2 = -9
Divide each side by '-3'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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