y=(3x+6)(x-3)-5

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Solution for y=(3x+6)(x-3)-5 equation: 


Simplifying
y = (3x + 6)(x + -3) + -5

Reorder the terms:
y = (6 + 3x)(x + -3) + -5

Reorder the terms:
y = (6 + 3x)(-3 + x) + -5

Multiply (6 + 3x) * (-3 + x)
y = (6(-3 + x) + 3x * (-3 + x)) + -5
y = ((-3 * 6 + x * 6) + 3x * (-3 + x)) + -5
y = ((-18 + 6x) + 3x * (-3 + x)) + -5
y = (-18 + 6x + (-3 * 3x + x * 3x)) + -5
y = (-18 + 6x + (-9x + 3x2)) + -5

Combine like terms: 6x + -9x = -3x
y = (-18 + -3x + 3x2) + -5

Reorder the terms:
y = -18 + -5 + -3x + 3x2

Combine like terms: -18 + -5 = -23
y = -23 + -3x + 3x2

Solving
y = -23 + -3x + 3x2

Solving for variable 'y'.

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

Simplifying
y = -23 + -3x + 3x2

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