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Simplifying 2x3 + -3x2 + 9x + 2ifx = -2 Reorder the terms: 2fix + 9x + -3x2 + 2x3 = -2 Solving 2fix + 9x + -3x2 + 2x3 = -2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9x' to each side of the equation. 2fix + 9x + -3x2 + -9x + 2x3 = -2 + -9x Reorder the terms: 2fix + 9x + -9x + -3x2 + 2x3 = -2 + -9x Combine like terms: 9x + -9x = 0 2fix + 0 + -3x2 + 2x3 = -2 + -9x 2fix + -3x2 + 2x3 = -2 + -9x Add '3x2' to each side of the equation. 2fix + -3x2 + 3x2 + 2x3 = -2 + -9x + 3x2 Combine like terms: -3x2 + 3x2 = 0 2fix + 0 + 2x3 = -2 + -9x + 3x2 2fix + 2x3 = -2 + -9x + 3x2 Add '-2x3' to each side of the equation. 2fix + 2x3 + -2x3 = -2 + -9x + 3x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 2fix + 0 = -2 + -9x + 3x2 + -2x3 2fix = -2 + -9x + 3x2 + -2x3 Divide each side by '2ix'. f = -1i-1x-1 + -4.5i-1 + 1.5i-1x + -1i-1x2 Simplifying f = -1i-1x-1 + -4.5i-1 + 1.5i-1x + -1i-1x2 Reorder the terms: f = -4.5i-1 + -1i-1x-1 + 1.5i-1x + -1i-1x2
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