y=(x-5)(x+5)(2x-1)

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Solution for y=(x-5)(x+5)(2x-1) equation:


Simplifying
y = (x + -5)(x + 5)(2x + -1)

Reorder the terms:
y = (-5 + x)(x + 5)(2x + -1)

Reorder the terms:
y = (-5 + x)(5 + x)(2x + -1)

Reorder the terms:
y = (-5 + x)(5 + x)(-1 + 2x)

Multiply (-5 + x) * (5 + x)
y = (-5(5 + x) + x(5 + x))(-1 + 2x)
y = ((5 * -5 + x * -5) + x(5 + x))(-1 + 2x)
y = ((-25 + -5x) + x(5 + x))(-1 + 2x)
y = (-25 + -5x + (5 * x + x * x))(-1 + 2x)
y = (-25 + -5x + (5x + x2))(-1 + 2x)

Combine like terms: -5x + 5x = 0
y = (-25 + 0 + x2)(-1 + 2x)
y = (-25 + x2)(-1 + 2x)

Multiply (-25 + x2) * (-1 + 2x)
y = (-25(-1 + 2x) + x2(-1 + 2x))
y = ((-1 * -25 + 2x * -25) + x2(-1 + 2x))
y = ((25 + -50x) + x2(-1 + 2x))
y = (25 + -50x + (-1 * x2 + 2x * x2))
y = (25 + -50x + (-1x2 + 2x3))
y = (25 + -50x + -1x2 + 2x3)

Solving
y = 25 + -50x + -1x2 + 2x3

Solving for variable 'y'.

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

Simplifying
y = 25 + -50x + -1x2 + 2x3

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