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Simplifying (1 + x)(3x + 4) + -1(2x + 1)(x + -3) = x(x + -4) Reorder the terms: (1 + x)(4 + 3x) + -1(2x + 1)(x + -3) = x(x + -4) Multiply (1 + x) * (4 + 3x) (1(4 + 3x) + x(4 + 3x)) + -1(2x + 1)(x + -3) = x(x + -4) ((4 * 1 + 3x * 1) + x(4 + 3x)) + -1(2x + 1)(x + -3) = x(x + -4) ((4 + 3x) + x(4 + 3x)) + -1(2x + 1)(x + -3) = x(x + -4) (4 + 3x + (4 * x + 3x * x)) + -1(2x + 1)(x + -3) = x(x + -4) (4 + 3x + (4x + 3x2)) + -1(2x + 1)(x + -3) = x(x + -4) Combine like terms: 3x + 4x = 7x (4 + 7x + 3x2) + -1(2x + 1)(x + -3) = x(x + -4) Reorder the terms: 4 + 7x + 3x2 + -1(1 + 2x)(x + -3) = x(x + -4) Reorder the terms: 4 + 7x + 3x2 + -1(1 + 2x)(-3 + x) = x(x + -4) Multiply (1 + 2x) * (-3 + x) 4 + 7x + 3x2 + -1(1(-3 + x) + 2x * (-3 + x)) = x(x + -4) 4 + 7x + 3x2 + -1((-3 * 1 + x * 1) + 2x * (-3 + x)) = x(x + -4) 4 + 7x + 3x2 + -1((-3 + 1x) + 2x * (-3 + x)) = x(x + -4) 4 + 7x + 3x2 + -1(-3 + 1x + (-3 * 2x + x * 2x)) = x(x + -4) 4 + 7x + 3x2 + -1(-3 + 1x + (-6x + 2x2)) = x(x + -4) Combine like terms: 1x + -6x = -5x 4 + 7x + 3x2 + -1(-3 + -5x + 2x2) = x(x + -4) 4 + 7x + 3x2 + (-3 * -1 + -5x * -1 + 2x2 * -1) = x(x + -4) 4 + 7x + 3x2 + (3 + 5x + -2x2) = x(x + -4) Reorder the terms: 4 + 3 + 7x + 5x + 3x2 + -2x2 = x(x + -4) Combine like terms: 4 + 3 = 7 7 + 7x + 5x + 3x2 + -2x2 = x(x + -4) Combine like terms: 7x + 5x = 12x 7 + 12x + 3x2 + -2x2 = x(x + -4) Combine like terms: 3x2 + -2x2 = 1x2 7 + 12x + 1x2 = x(x + -4) Reorder the terms: 7 + 12x + 1x2 = x(-4 + x) 7 + 12x + 1x2 = (-4 * x + x * x) 7 + 12x + 1x2 = (-4x + x2) Solving 7 + 12x + 1x2 = -4x + x2 Solving for variable 'x'. Reorder the terms: 7 + 12x + 4x + 1x2 + -1x2 = -4x + x2 + 4x + -1x2 Combine like terms: 12x + 4x = 16x 7 + 16x + 1x2 + -1x2 = -4x + x2 + 4x + -1x2 Combine like terms: 1x2 + -1x2 = 0 7 + 16x + 0 = -4x + x2 + 4x + -1x2 7 + 16x = -4x + x2 + 4x + -1x2 Reorder the terms: 7 + 16x = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 7 + 16x = 0 + x2 + -1x2 7 + 16x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7 + 16x = 0 The solution to this equation could not be determined.
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