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Simplifying
(2x2 + 5y2 + -3) + -1(5x2 + 5y2 + -7) = 0
Reorder the terms:
(-3 + 2x2 + 5y2) + -1(5x2 + 5y2 + -7) = 0
Remove parenthesis around (-3 + 2x2 + 5y2)
-3 + 2x2 + 5y2 + -1(5x2 + 5y2 + -7) = 0
Reorder the terms:
-3 + 2x2 + 5y2 + -1(-7 + 5x2 + 5y2) = 0
-3 + 2x2 + 5y2 + (-7 * -1 + 5x2 * -1 + 5y2 * -1) = 0
-3 + 2x2 + 5y2 + (7 + -5x2 + -5y2) = 0
Reorder the terms:
-3 + 7 + 2x2 + -5x2 + 5y2 + -5y2 = 0
Combine like terms: -3 + 7 = 4
4 + 2x2 + -5x2 + 5y2 + -5y2 = 0
Combine like terms: 2x2 + -5x2 = -3x2
4 + -3x2 + 5y2 + -5y2 = 0
Combine like terms: 5y2 + -5y2 = 0
4 + -3x2 + 0 = 0
4 + -3x2 = 0
Solving
4 + -3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -3x2 = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -3x2 = 0 + -4
-3x2 = 0 + -4
Combine like terms: 0 + -4 = -4
-3x2 = -4
Divide each side by '-3'.
x2 = 1.333333333
Simplifying
x2 = 1.333333333
Take the square root of each side:
x = {-1.154700538, 1.154700538}
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