4.5=(x+1)(x-3)(x-0.5)

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Solution for 4.5=(x+1)(x-3)(x-0.5) equation:


Simplifying
4.5 = (x + 1)(x + -3)(x + -0.5)

Reorder the terms:
4.5 = (1 + x)(x + -3)(x + -0.5)

Reorder the terms:
4.5 = (1 + x)(-3 + x)(x + -0.5)

Reorder the terms:
4.5 = (1 + x)(-3 + x)(-0.5 + x)

Multiply (1 + x) * (-3 + x)
4.5 = (1(-3 + x) + x(-3 + x))(-0.5 + x)
4.5 = ((-3 * 1 + x * 1) + x(-3 + x))(-0.5 + x)
4.5 = ((-3 + 1x) + x(-3 + x))(-0.5 + x)
4.5 = (-3 + 1x + (-3 * x + x * x))(-0.5 + x)
4.5 = (-3 + 1x + (-3x + x2))(-0.5 + x)

Combine like terms: 1x + -3x = -2x
4.5 = (-3 + -2x + x2)(-0.5 + x)

Multiply (-3 + -2x + x2) * (-0.5 + x)
4.5 = (-3(-0.5 + x) + -2x * (-0.5 + x) + x2(-0.5 + x))
4.5 = ((-0.5 * -3 + x * -3) + -2x * (-0.5 + x) + x2(-0.5 + x))
4.5 = ((1.5 + -3x) + -2x * (-0.5 + x) + x2(-0.5 + x))
4.5 = (1.5 + -3x + (-0.5 * -2x + x * -2x) + x2(-0.5 + x))
4.5 = (1.5 + -3x + (1x + -2x2) + x2(-0.5 + x))
4.5 = (1.5 + -3x + 1x + -2x2 + (-0.5 * x2 + x * x2))
4.5 = (1.5 + -3x + 1x + -2x2 + (-0.5x2 + x3))

Combine like terms: -3x + 1x = -2x
4.5 = (1.5 + -2x + -2x2 + -0.5x2 + x3)

Combine like terms: -2x2 + -0.5x2 = -2.5x2
4.5 = (1.5 + -2x + -2.5x2 + x3)

Solving
4.5 = 1.5 + -2x + -2.5x2 + x3

Solving for variable 'x'.

Combine like terms: 4.5 + -1.5 = 3
3 + 2x + 2.5x2 + -1x3 = 1.5 + -2x + -2.5x2 + x3 + -1.5 + 2x + 2.5x2 + -1x3

Reorder the terms:
3 + 2x + 2.5x2 + -1x3 = 1.5 + -1.5 + -2x + 2x + -2.5x2 + 2.5x2 + x3 + -1x3

Combine like terms: 1.5 + -1.5 = 0.0
3 + 2x + 2.5x2 + -1x3 = 0.0 + -2x + 2x + -2.5x2 + 2.5x2 + x3 + -1x3
3 + 2x + 2.5x2 + -1x3 = -2x + 2x + -2.5x2 + 2.5x2 + x3 + -1x3

Combine like terms: -2x + 2x = 0
3 + 2x + 2.5x2 + -1x3 = 0 + -2.5x2 + 2.5x2 + x3 + -1x3
3 + 2x + 2.5x2 + -1x3 = -2.5x2 + 2.5x2 + x3 + -1x3

Combine like terms: -2.5x2 + 2.5x2 = 0.0
3 + 2x + 2.5x2 + -1x3 = 0.0 + x3 + -1x3
3 + 2x + 2.5x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
3 + 2x + 2.5x2 + -1x3 = 0

The solution to this equation could not be determined.

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