y=2(2x+1)(x-2)

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Solution for y=2(2x+1)(x-2) equation:


Simplifying
y = 2(2x + 1)(x + -2)

Reorder the terms:
y = 2(1 + 2x)(x + -2)

Reorder the terms:
y = 2(1 + 2x)(-2 + x)

Multiply (1 + 2x) * (-2 + x)
y = 2(1(-2 + x) + 2x * (-2 + x))
y = 2((-2 * 1 + x * 1) + 2x * (-2 + x))
y = 2((-2 + 1x) + 2x * (-2 + x))
y = 2(-2 + 1x + (-2 * 2x + x * 2x))
y = 2(-2 + 1x + (-4x + 2x2))

Combine like terms: 1x + -4x = -3x
y = 2(-2 + -3x + 2x2)
y = (-2 * 2 + -3x * 2 + 2x2 * 2)
y = (-4 + -6x + 4x2)

Solving
y = -4 + -6x + 4x2

Solving for variable 'y'.

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

Simplifying
y = -4 + -6x + 4x2

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