y=10(2x-1)(1-x)2

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Solution for y=10(2x-1)(1-x)2 equation:


Simplifying
y = 10(2x + -1)(1 + -1x) * 2

Reorder the terms:
y = 10(-1 + 2x)(1 + -1x) * 2

Reorder the terms for easier multiplication:
y = 10 * 2(-1 + 2x)(1 + -1x)

Multiply 10 * 2
y = 20(-1 + 2x)(1 + -1x)

Multiply (-1 + 2x) * (1 + -1x)
y = 20(-1(1 + -1x) + 2x * (1 + -1x))
y = 20((1 * -1 + -1x * -1) + 2x * (1 + -1x))
y = 20((-1 + 1x) + 2x * (1 + -1x))
y = 20(-1 + 1x + (1 * 2x + -1x * 2x))
y = 20(-1 + 1x + (2x + -2x2))

Combine like terms: 1x + 2x = 3x
y = 20(-1 + 3x + -2x2)
y = (-1 * 20 + 3x * 20 + -2x2 * 20)
y = (-20 + 60x + -40x2)

Solving
y = -20 + 60x + -40x2

Solving for variable 'y'.

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

Simplifying
y = -20 + 60x + -40x2

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