y=4(x-3)(x+6)

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Solution for y=4(x-3)(x+6) equation:


Simplifying
y = 4(x + -3)(x + 6)

Reorder the terms:
y = 4(-3 + x)(x + 6)

Reorder the terms:
y = 4(-3 + x)(6 + x)

Multiply (-3 + x) * (6 + x)
y = 4(-3(6 + x) + x(6 + x))
y = 4((6 * -3 + x * -3) + x(6 + x))
y = 4((-18 + -3x) + x(6 + x))
y = 4(-18 + -3x + (6 * x + x * x))
y = 4(-18 + -3x + (6x + x2))

Combine like terms: -3x + 6x = 3x
y = 4(-18 + 3x + x2)
y = (-18 * 4 + 3x * 4 + x2 * 4)
y = (-72 + 12x + 4x2)

Solving
y = -72 + 12x + 4x2

Solving for variable 'y'.

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

Simplifying
y = -72 + 12x + 4x2

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