18=-4(x+1)(x-3)(x-0.5)

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Solution for 18=-4(x+1)(x-3)(x-0.5) equation:


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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