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Simplifying 5x(x + -3) = (x + 4)(x + 3)(x + 3) Reorder the terms: 5x(-3 + x) = (x + 4)(x + 3)(x + 3) (-3 * 5x + x * 5x) = (x + 4)(x + 3)(x + 3) (-15x + 5x2) = (x + 4)(x + 3)(x + 3) Reorder the terms: -15x + 5x2 = (4 + x)(x + 3)(x + 3) Reorder the terms: -15x + 5x2 = (4 + x)(3 + x)(x + 3) Reorder the terms: -15x + 5x2 = (4 + x)(3 + x)(3 + x) Multiply (4 + x) * (3 + x) -15x + 5x2 = (4(3 + x) + x(3 + x))(3 + x) -15x + 5x2 = ((3 * 4 + x * 4) + x(3 + x))(3 + x) -15x + 5x2 = ((12 + 4x) + x(3 + x))(3 + x) -15x + 5x2 = (12 + 4x + (3 * x + x * x))(3 + x) -15x + 5x2 = (12 + 4x + (3x + x2))(3 + x) Combine like terms: 4x + 3x = 7x -15x + 5x2 = (12 + 7x + x2)(3 + x) Multiply (12 + 7x + x2) * (3 + x) -15x + 5x2 = (12(3 + x) + 7x * (3 + x) + x2(3 + x)) -15x + 5x2 = ((3 * 12 + x * 12) + 7x * (3 + x) + x2(3 + x)) -15x + 5x2 = ((36 + 12x) + 7x * (3 + x) + x2(3 + x)) -15x + 5x2 = (36 + 12x + (3 * 7x + x * 7x) + x2(3 + x)) -15x + 5x2 = (36 + 12x + (21x + 7x2) + x2(3 + x)) -15x + 5x2 = (36 + 12x + 21x + 7x2 + (3 * x2 + x * x2)) -15x + 5x2 = (36 + 12x + 21x + 7x2 + (3x2 + x3)) Combine like terms: 12x + 21x = 33x -15x + 5x2 = (36 + 33x + 7x2 + 3x2 + x3) Combine like terms: 7x2 + 3x2 = 10x2 -15x + 5x2 = (36 + 33x + 10x2 + x3) Solving -15x + 5x2 = 36 + 33x + 10x2 + x3 Solving for variable 'x'. Reorder the terms: -36 + -15x + -33x + 5x2 + -10x2 + -1x3 = 36 + 33x + 10x2 + x3 + -36 + -33x + -10x2 + -1x3 Combine like terms: -15x + -33x = -48x -36 + -48x + 5x2 + -10x2 + -1x3 = 36 + 33x + 10x2 + x3 + -36 + -33x + -10x2 + -1x3 Combine like terms: 5x2 + -10x2 = -5x2 -36 + -48x + -5x2 + -1x3 = 36 + 33x + 10x2 + x3 + -36 + -33x + -10x2 + -1x3 Reorder the terms: -36 + -48x + -5x2 + -1x3 = 36 + -36 + 33x + -33x + 10x2 + -10x2 + x3 + -1x3 Combine like terms: 36 + -36 = 0 -36 + -48x + -5x2 + -1x3 = 0 + 33x + -33x + 10x2 + -10x2 + x3 + -1x3 -36 + -48x + -5x2 + -1x3 = 33x + -33x + 10x2 + -10x2 + x3 + -1x3 Combine like terms: 33x + -33x = 0 -36 + -48x + -5x2 + -1x3 = 0 + 10x2 + -10x2 + x3 + -1x3 -36 + -48x + -5x2 + -1x3 = 10x2 + -10x2 + x3 + -1x3 Combine like terms: 10x2 + -10x2 = 0 -36 + -48x + -5x2 + -1x3 = 0 + x3 + -1x3 -36 + -48x + -5x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -36 + -48x + -5x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(36 + 48x + 5x2 + x3) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(36 + 48x + 5x2 + x3)' equal to zero and attempt to solve: Simplifying 36 + 48x + 5x2 + x3 = 0 Solving 36 + 48x + 5x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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