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

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


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

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

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

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

Combine like terms: 5x + -2x = 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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