y=(x+1)(x-4)(x-1.5)

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Solution for y=(x+1)(x-4)(x-1.5) equation:


Simplifying
y = (x + 1)(x + -4)(x + -1.5)

Reorder the terms:
y = (1 + x)(x + -4)(x + -1.5)

Reorder the terms:
y = (1 + x)(-4 + x)(x + -1.5)

Reorder the terms:
y = (1 + x)(-4 + x)(-1.5 + x)

Multiply (1 + x) * (-4 + x)
y = (1(-4 + x) + x(-4 + x))(-1.5 + x)
y = ((-4 * 1 + x * 1) + x(-4 + x))(-1.5 + x)
y = ((-4 + 1x) + x(-4 + x))(-1.5 + x)
y = (-4 + 1x + (-4 * x + x * x))(-1.5 + x)
y = (-4 + 1x + (-4x + x2))(-1.5 + x)

Combine like terms: 1x + -4x = -3x
y = (-4 + -3x + x2)(-1.5 + x)

Multiply (-4 + -3x + x2) * (-1.5 + x)
y = (-4(-1.5 + x) + -3x * (-1.5 + x) + x2(-1.5 + x))
y = ((-1.5 * -4 + x * -4) + -3x * (-1.5 + x) + x2(-1.5 + x))
y = ((6 + -4x) + -3x * (-1.5 + x) + x2(-1.5 + x))
y = (6 + -4x + (-1.5 * -3x + x * -3x) + x2(-1.5 + x))
y = (6 + -4x + (4.5x + -3x2) + x2(-1.5 + x))
y = (6 + -4x + 4.5x + -3x2 + (-1.5 * x2 + x * x2))
y = (6 + -4x + 4.5x + -3x2 + (-1.5x2 + x3))

Combine like terms: -4x + 4.5x = 0.5x
y = (6 + 0.5x + -3x2 + -1.5x2 + x3)

Combine like terms: -3x2 + -1.5x2 = -4.5x2
y = (6 + 0.5x + -4.5x2 + x3)

Solving
y = 6 + 0.5x + -4.5x2 + x3

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 6 + 0.5x + -4.5x2 + x3

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