y=(x+5)(2x-3)(x-3)

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Solution for y=(x+5)(2x-3)(x-3) equation:


Simplifying
y = (x + 5)(2x + -3)(x + -3)

Reorder the terms:
y = (5 + x)(2x + -3)(x + -3)

Reorder the terms:
y = (5 + x)(-3 + 2x)(x + -3)

Reorder the terms:
y = (5 + x)(-3 + 2x)(-3 + x)

Multiply (5 + x) * (-3 + 2x)
y = (5(-3 + 2x) + x(-3 + 2x))(-3 + x)
y = ((-3 * 5 + 2x * 5) + x(-3 + 2x))(-3 + x)
y = ((-15 + 10x) + x(-3 + 2x))(-3 + x)
y = (-15 + 10x + (-3 * x + 2x * x))(-3 + x)
y = (-15 + 10x + (-3x + 2x2))(-3 + x)

Combine like terms: 10x + -3x = 7x
y = (-15 + 7x + 2x2)(-3 + x)

Multiply (-15 + 7x + 2x2) * (-3 + x)
y = (-15(-3 + x) + 7x * (-3 + x) + 2x2 * (-3 + x))
y = ((-3 * -15 + x * -15) + 7x * (-3 + x) + 2x2 * (-3 + x))
y = ((45 + -15x) + 7x * (-3 + x) + 2x2 * (-3 + x))
y = (45 + -15x + (-3 * 7x + x * 7x) + 2x2 * (-3 + x))
y = (45 + -15x + (-21x + 7x2) + 2x2 * (-3 + x))
y = (45 + -15x + -21x + 7x2 + (-3 * 2x2 + x * 2x2))
y = (45 + -15x + -21x + 7x2 + (-6x2 + 2x3))

Combine like terms: -15x + -21x = -36x
y = (45 + -36x + 7x2 + -6x2 + 2x3)

Combine like terms: 7x2 + -6x2 = 1x2
y = (45 + -36x + 1x2 + 2x3)

Solving
y = 45 + -36x + 1x2 + 2x3

Solving for variable 'y'.

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

Simplifying
y = 45 + -36x + 1x2 + 2x3

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