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Simplifying (6x2 + 5y2 + -4) + -1(4x2 + 5y2 + -9) = 0 Reorder the terms: (-4 + 6x2 + 5y2) + -1(4x2 + 5y2 + -9) = 0 Remove parenthesis around (-4 + 6x2 + 5y2) -4 + 6x2 + 5y2 + -1(4x2 + 5y2 + -9) = 0 Reorder the terms: -4 + 6x2 + 5y2 + -1(-9 + 4x2 + 5y2) = 0 -4 + 6x2 + 5y2 + (-9 * -1 + 4x2 * -1 + 5y2 * -1) = 0 -4 + 6x2 + 5y2 + (9 + -4x2 + -5y2) = 0 Reorder the terms: -4 + 9 + 6x2 + -4x2 + 5y2 + -5y2 = 0 Combine like terms: -4 + 9 = 5 5 + 6x2 + -4x2 + 5y2 + -5y2 = 0 Combine like terms: 6x2 + -4x2 = 2x2 5 + 2x2 + 5y2 + -5y2 = 0 Combine like terms: 5y2 + -5y2 = 0 5 + 2x2 + 0 = 0 5 + 2x2 = 0 Solving 5 + 2x2 = 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 + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x2 = 0 + -5 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x2 = -5 Divide each side by '2'. x2 = -2.5 Simplifying x2 = -2.5 Reorder the terms: 2.5 + x2 = -2.5 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 2.5 + x2 = 0.0 The solution to this equation could not be determined.
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