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

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


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

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

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

Multiply (3 + 5x) * (-2 + x)
y = (3(-2 + x) + 5x * (-2 + x))
y = ((-2 * 3 + x * 3) + 5x * (-2 + x))
y = ((-6 + 3x) + 5x * (-2 + x))
y = (-6 + 3x + (-2 * 5x + x * 5x))
y = (-6 + 3x + (-10x + 5x2))

Combine like terms: 3x + -10x = -7x
y = (-6 + -7x + 5x2)

Solving
y = -6 + -7x + 5x2

Solving for variable 'y'.

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

Simplifying
y = -6 + -7x + 5x2

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