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Simplifying
(2x2 + -1x + 7) + (3x2 + x + -9) = 0
Reorder the terms:
(7 + -1x + 2x2) + (3x2 + x + -9) = 0
Remove parenthesis around (7 + -1x + 2x2)
7 + -1x + 2x2 + (3x2 + x + -9) = 0
Reorder the terms:
7 + -1x + 2x2 + (-9 + x + 3x2) = 0
Remove parenthesis around (-9 + x + 3x2)
7 + -1x + 2x2 + -9 + x + 3x2 = 0
Reorder the terms:
7 + -9 + -1x + x + 2x2 + 3x2 = 0
Combine like terms: 7 + -9 = -2
-2 + -1x + x + 2x2 + 3x2 = 0
Combine like terms: -1x + x = 0
-2 + 0 + 2x2 + 3x2 = 0
-2 + 2x2 + 3x2 = 0
Combine like terms: 2x2 + 3x2 = 5x2
-2 + 5x2 = 0
Solving
-2 + 5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 5x2 = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 5x2 = 0 + 2
5x2 = 0 + 2
Combine like terms: 0 + 2 = 2
5x2 = 2
Divide each side by '5'.
x2 = 0.4
Simplifying
x2 = 0.4
Take the square root of each side:
x = {-0.632455532, 0.632455532}
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