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Simplifying 2(3x2 + -4y2) + 4(-1x2 + -2y2) + -3 = 0 (3x2 * 2 + -4y2 * 2) + 4(-1x2 + -2y2) + -3 = 0 (6x2 + -8y2) + 4(-1x2 + -2y2) + -3 = 0 6x2 + -8y2 + (-1x2 * 4 + -2y2 * 4) + -3 = 0 6x2 + -8y2 + (-4x2 + -8y2) + -3 = 0 Reorder the terms: -3 + 6x2 + -4x2 + -8y2 + -8y2 = 0 Combine like terms: 6x2 + -4x2 = 2x2 -3 + 2x2 + -8y2 + -8y2 = 0 Combine like terms: -8y2 + -8y2 = -16y2 -3 + 2x2 + -16y2 = 0 Solving -3 + 2x2 + -16y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2x2 + 3 + -16y2 = 0 + 3 Reorder the terms: -3 + 3 + 2x2 + -16y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x2 + -16y2 = 0 + 3 2x2 + -16y2 = 0 + 3 Combine like terms: 0 + 3 = 3 2x2 + -16y2 = 3 Add '16y2' to each side of the equation. 2x2 + -16y2 + 16y2 = 3 + 16y2 Combine like terms: -16y2 + 16y2 = 0 2x2 + 0 = 3 + 16y2 2x2 = 3 + 16y2 Divide each side by '2'. x2 = 1.5 + 8y2 Simplifying x2 = 1.5 + 8y2 Reorder the terms: -1.5 + x2 + -8y2 = 1.5 + 8y2 + -1.5 + -8y2 Reorder the terms: -1.5 + x2 + -8y2 = 1.5 + -1.5 + 8y2 + -8y2 Combine like terms: 1.5 + -1.5 = 0.0 -1.5 + x2 + -8y2 = 0.0 + 8y2 + -8y2 -1.5 + x2 + -8y2 = 8y2 + -8y2 Combine like terms: 8y2 + -8y2 = 0 -1.5 + x2 + -8y2 = 0 The solution to this equation could not be determined.
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