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Simplifying 18 = -4(x + 1)(x + -3)(x + -0.5) Reorder the terms: 18 = -4(1 + x)(x + -3)(x + -0.5) Reorder the terms: 18 = -4(1 + x)(-3 + x)(x + -0.5) Reorder the terms: 18 = -4(1 + x)(-3 + x)(-0.5 + x) Multiply (1 + x) * (-3 + x) 18 = -4(1(-3 + x) + x(-3 + x))(-0.5 + x) 18 = -4((-3 * 1 + x * 1) + x(-3 + x))(-0.5 + x) 18 = -4((-3 + 1x) + x(-3 + x))(-0.5 + x) 18 = -4(-3 + 1x + (-3 * x + x * x))(-0.5 + x) 18 = -4(-3 + 1x + (-3x + x2))(-0.5 + x) Combine like terms: 1x + -3x = -2x 18 = -4(-3 + -2x + x2)(-0.5 + x) Multiply (-3 + -2x + x2) * (-0.5 + x) 18 = -4(-3(-0.5 + x) + -2x * (-0.5 + x) + x2(-0.5 + x)) 18 = -4((-0.5 * -3 + x * -3) + -2x * (-0.5 + x) + x2(-0.5 + x)) 18 = -4((1.5 + -3x) + -2x * (-0.5 + x) + x2(-0.5 + x)) 18 = -4(1.5 + -3x + (-0.5 * -2x + x * -2x) + x2(-0.5 + x)) 18 = -4(1.5 + -3x + (1x + -2x2) + x2(-0.5 + x)) 18 = -4(1.5 + -3x + 1x + -2x2 + (-0.5 * x2 + x * x2)) 18 = -4(1.5 + -3x + 1x + -2x2 + (-0.5x2 + x3)) Combine like terms: -3x + 1x = -2x 18 = -4(1.5 + -2x + -2x2 + -0.5x2 + x3) Combine like terms: -2x2 + -0.5x2 = -2.5x2 18 = -4(1.5 + -2x + -2.5x2 + x3) 18 = (1.5 * -4 + -2x * -4 + -2.5x2 * -4 + x3 * -4) 18 = (-6 + 8x + 10x2 + -4x3) Solving 18 = -6 + 8x + 10x2 + -4x3 Solving for variable 'x'. Combine like terms: 18 + 6 = 24 24 + -8x + -10x2 + 4x3 = -6 + 8x + 10x2 + -4x3 + 6 + -8x + -10x2 + 4x3 Reorder the terms: 24 + -8x + -10x2 + 4x3 = -6 + 6 + 8x + -8x + 10x2 + -10x2 + -4x3 + 4x3 Combine like terms: -6 + 6 = 0 24 + -8x + -10x2 + 4x3 = 0 + 8x + -8x + 10x2 + -10x2 + -4x3 + 4x3 24 + -8x + -10x2 + 4x3 = 8x + -8x + 10x2 + -10x2 + -4x3 + 4x3 Combine like terms: 8x + -8x = 0 24 + -8x + -10x2 + 4x3 = 0 + 10x2 + -10x2 + -4x3 + 4x3 24 + -8x + -10x2 + 4x3 = 10x2 + -10x2 + -4x3 + 4x3 Combine like terms: 10x2 + -10x2 = 0 24 + -8x + -10x2 + 4x3 = 0 + -4x3 + 4x3 24 + -8x + -10x2 + 4x3 = -4x3 + 4x3 Combine like terms: -4x3 + 4x3 = 0 24 + -8x + -10x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -4x + -5x2 + 2x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -4x + -5x2 + 2x3)' equal to zero and attempt to solve: Simplifying 12 + -4x + -5x2 + 2x3 = 0 Solving 12 + -4x + -5x2 + 2x3 = 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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