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Simplifying (4 + 3x)(2 + -1x) + (4 + -3x)(2 + x) = 22 Multiply (4 + 3x) * (2 + -1x) (4(2 + -1x) + 3x * (2 + -1x)) + (4 + -3x)(2 + x) = 22 ((2 * 4 + -1x * 4) + 3x * (2 + -1x)) + (4 + -3x)(2 + x) = 22 ((8 + -4x) + 3x * (2 + -1x)) + (4 + -3x)(2 + x) = 22 (8 + -4x + (2 * 3x + -1x * 3x)) + (4 + -3x)(2 + x) = 22 (8 + -4x + (6x + -3x2)) + (4 + -3x)(2 + x) = 22 Combine like terms: -4x + 6x = 2x (8 + 2x + -3x2) + (4 + -3x)(2 + x) = 22 Multiply (4 + -3x) * (2 + x) 8 + 2x + -3x2 + (4(2 + x) + -3x * (2 + x)) = 22 8 + 2x + -3x2 + ((2 * 4 + x * 4) + -3x * (2 + x)) = 22 8 + 2x + -3x2 + ((8 + 4x) + -3x * (2 + x)) = 22 8 + 2x + -3x2 + (8 + 4x + (2 * -3x + x * -3x)) = 22 8 + 2x + -3x2 + (8 + 4x + (-6x + -3x2)) = 22 Combine like terms: 4x + -6x = -2x 8 + 2x + -3x2 + (8 + -2x + -3x2) = 22 Reorder the terms: 8 + 8 + 2x + -2x + -3x2 + -3x2 = 22 Combine like terms: 8 + 8 = 16 16 + 2x + -2x + -3x2 + -3x2 = 22 Combine like terms: 2x + -2x = 0 16 + 0 + -3x2 + -3x2 = 22 16 + -3x2 + -3x2 = 22 Combine like terms: -3x2 + -3x2 = -6x2 16 + -6x2 = 22 Solving 16 + -6x2 = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -6x2 = 22 + -16 Combine like terms: 16 + -16 = 0 0 + -6x2 = 22 + -16 -6x2 = 22 + -16 Combine like terms: 22 + -16 = 6 -6x2 = 6 Divide each side by '-6'. 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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