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Simplifying
(4x2 + 7y2 + -3) + -1(7x2 + 7y2 + -5) = 0
Reorder the terms:
(-3 + 4x2 + 7y2) + -1(7x2 + 7y2 + -5) = 0
Remove parenthesis around (-3 + 4x2 + 7y2)
-3 + 4x2 + 7y2 + -1(7x2 + 7y2 + -5) = 0
Reorder the terms:
-3 + 4x2 + 7y2 + -1(-5 + 7x2 + 7y2) = 0
-3 + 4x2 + 7y2 + (-5 * -1 + 7x2 * -1 + 7y2 * -1) = 0
-3 + 4x2 + 7y2 + (5 + -7x2 + -7y2) = 0
Reorder the terms:
-3 + 5 + 4x2 + -7x2 + 7y2 + -7y2 = 0
Combine like terms: -3 + 5 = 2
2 + 4x2 + -7x2 + 7y2 + -7y2 = 0
Combine like terms: 4x2 + -7x2 = -3x2
2 + -3x2 + 7y2 + -7y2 = 0
Combine like terms: 7y2 + -7y2 = 0
2 + -3x2 + 0 = 0
2 + -3x2 = 0
Solving
2 + -3x2 = 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 + -3x2 = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -3x2 = 0 + -2
-3x2 = 0 + -2
Combine like terms: 0 + -2 = -2
-3x2 = -2
Divide each side by '-3'.
x2 = 0.6666666667
Simplifying
x2 = 0.6666666667
Take the square root of each side:
x = {-0.816496581, 0.816496581}
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