y-2=-3(x+4)(x+4)

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Solution for y-2=-3(x+4)(x+4) equation: 


Simplifying
y + -2 = -3(x + 4)(x + 4)

Reorder the terms:
-2 + y = -3(x + 4)(x + 4)

Reorder the terms:
-2 + y = -3(4 + x)(x + 4)

Reorder the terms:
-2 + y = -3(4 + x)(4 + x)

Multiply (4 + x) * (4 + x)
-2 + y = -3(4(4 + x) + x(4 + x))
-2 + y = -3((4 * 4 + x * 4) + x(4 + x))
-2 + y = -3((16 + 4x) + x(4 + x))
-2 + y = -3(16 + 4x + (4 * x + x * x))
-2 + y = -3(16 + 4x + (4x + x2))

Combine like terms: 4x + 4x = 8x
-2 + y = -3(16 + 8x + x2)
-2 + y = (16 * -3 + 8x * -3 + x2 * -3)
-2 + y = (-48 + -24x + -3x2)

Solving
-2 + y = -48 + -24x + -3x2

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + y = -48 + -24x + 2 + -3x2

Combine like terms: -2 + 2 = 0
0 + y = -48 + -24x + 2 + -3x2
y = -48 + -24x + 2 + -3x2

Reorder the terms:
y = -48 + 2 + -24x + -3x2

Combine like terms: -48 + 2 = -46
y = -46 + -24x + -3x2

Simplifying
y = -46 + -24x + -3x2

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