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Simplifying
(8x2 + 6y2 + -8) + -1(3x2 + 6y2 + -5) = 0
Reorder the terms:
(-8 + 8x2 + 6y2) + -1(3x2 + 6y2 + -5) = 0
Remove parenthesis around (-8 + 8x2 + 6y2)
-8 + 8x2 + 6y2 + -1(3x2 + 6y2 + -5) = 0
Reorder the terms:
-8 + 8x2 + 6y2 + -1(-5 + 3x2 + 6y2) = 0
-8 + 8x2 + 6y2 + (-5 * -1 + 3x2 * -1 + 6y2 * -1) = 0
-8 + 8x2 + 6y2 + (5 + -3x2 + -6y2) = 0
Reorder the terms:
-8 + 5 + 8x2 + -3x2 + 6y2 + -6y2 = 0
Combine like terms: -8 + 5 = -3
-3 + 8x2 + -3x2 + 6y2 + -6y2 = 0
Combine like terms: 8x2 + -3x2 = 5x2
-3 + 5x2 + 6y2 + -6y2 = 0
Combine like terms: 6y2 + -6y2 = 0
-3 + 5x2 + 0 = 0
-3 + 5x2 = 0
Solving
-3 + 5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 5x2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 5x2 = 0 + 3
5x2 = 0 + 3
Combine like terms: 0 + 3 = 3
5x2 = 3
Divide each side by '5'.
x2 = 0.6
Simplifying
x2 = 0.6
Take the square root of each side:
x = {-0.774596669, 0.774596669}
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