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