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Simplifying
(4x2 + 7y2 + -2) + -1(8x2 + 7y2 + -7) = 0
Reorder the terms:
(-2 + 4x2 + 7y2) + -1(8x2 + 7y2 + -7) = 0
Remove parenthesis around (-2 + 4x2 + 7y2)
-2 + 4x2 + 7y2 + -1(8x2 + 7y2 + -7) = 0
Reorder the terms:
-2 + 4x2 + 7y2 + -1(-7 + 8x2 + 7y2) = 0
-2 + 4x2 + 7y2 + (-7 * -1 + 8x2 * -1 + 7y2 * -1) = 0
-2 + 4x2 + 7y2 + (7 + -8x2 + -7y2) = 0
Reorder the terms:
-2 + 7 + 4x2 + -8x2 + 7y2 + -7y2 = 0
Combine like terms: -2 + 7 = 5
5 + 4x2 + -8x2 + 7y2 + -7y2 = 0
Combine like terms: 4x2 + -8x2 = -4x2
5 + -4x2 + 7y2 + -7y2 = 0
Combine like terms: 7y2 + -7y2 = 0
5 + -4x2 + 0 = 0
5 + -4x2 = 0
Solving
5 + -4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + -4x2 = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -4x2 = 0 + -5
-4x2 = 0 + -5
Combine like terms: 0 + -5 = -5
-4x2 = -5
Divide each side by '-4'.
x2 = 1.25
Simplifying
x2 = 1.25
Take the square root of each side:
x = {-1.118033989, 1.118033989}
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