y=3(x-2)(x+5)

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Solution for y=3(x-2)(x+5) equation:


Simplifying
y = 3(x + -2)(x + 5)

Reorder the terms:
y = 3(-2 + x)(x + 5)

Reorder the terms:
y = 3(-2 + x)(5 + x)

Multiply (-2 + x) * (5 + x)
y = 3(-2(5 + x) + x(5 + x))
y = 3((5 * -2 + x * -2) + x(5 + x))
y = 3((-10 + -2x) + x(5 + x))
y = 3(-10 + -2x + (5 * x + x * x))
y = 3(-10 + -2x + (5x + x2))

Combine like terms: -2x + 5x = 3x
y = 3(-10 + 3x + x2)
y = (-10 * 3 + 3x * 3 + x2 * 3)
y = (-30 + 9x + 3x2)

Solving
y = -30 + 9x + 3x2

Solving for variable 'y'.

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

Simplifying
y = -30 + 9x + 3x2

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