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

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


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

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

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

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

Multiply (5 + x) * (-2 + x)
y = (5(-2 + x) + x(-2 + x))(5 + x)
y = ((-2 * 5 + x * 5) + x(-2 + x))(5 + x)
y = ((-10 + 5x) + x(-2 + x))(5 + x)
y = (-10 + 5x + (-2 * x + x * x))(5 + x)
y = (-10 + 5x + (-2x + x2))(5 + x)

Combine like terms: 5x + -2x = 3x
y = (-10 + 3x + x2)(5 + x)

Multiply (-10 + 3x + x2) * (5 + x)
y = (-10(5 + x) + 3x * (5 + x) + x2(5 + x))
y = ((5 * -10 + x * -10) + 3x * (5 + x) + x2(5 + x))
y = ((-50 + -10x) + 3x * (5 + x) + x2(5 + x))
y = (-50 + -10x + (5 * 3x + x * 3x) + x2(5 + x))
y = (-50 + -10x + (15x + 3x2) + x2(5 + x))
y = (-50 + -10x + 15x + 3x2 + (5 * x2 + x * x2))
y = (-50 + -10x + 15x + 3x2 + (5x2 + x3))

Combine like terms: -10x + 15x = 5x
y = (-50 + 5x + 3x2 + 5x2 + x3)

Combine like terms: 3x2 + 5x2 = 8x2
y = (-50 + 5x + 8x2 + x3)

Solving
y = -50 + 5x + 8x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -50 + 5x + 8x2 + x3

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