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Simplifying (4x2 + 6y2 + -8) + -1(8x2 + 6y2 + -4) = 0 Reorder the terms: (-8 + 4x2 + 6y2) + -1(8x2 + 6y2 + -4) = 0 Remove parenthesis around (-8 + 4x2 + 6y2) -8 + 4x2 + 6y2 + -1(8x2 + 6y2 + -4) = 0 Reorder the terms: -8 + 4x2 + 6y2 + -1(-4 + 8x2 + 6y2) = 0 -8 + 4x2 + 6y2 + (-4 * -1 + 8x2 * -1 + 6y2 * -1) = 0 -8 + 4x2 + 6y2 + (4 + -8x2 + -6y2) = 0 Reorder the terms: -8 + 4 + 4x2 + -8x2 + 6y2 + -6y2 = 0 Combine like terms: -8 + 4 = -4 -4 + 4x2 + -8x2 + 6y2 + -6y2 = 0 Combine like terms: 4x2 + -8x2 = -4x2 -4 + -4x2 + 6y2 + -6y2 = 0 Combine like terms: 6y2 + -6y2 = 0 -4 + -4x2 + 0 = 0 -4 + -4x2 = 0 Solving -4 + -4x2 = 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 + -4x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4x2 = 0 + 4 -4x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -4x2 = 4 Divide each side by '-4'. x2 = -1 Simplifying x2 = -1 Reorder the terms: 1 + x2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + x2 = 0 The solution to this equation could not be determined.
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