y=-(x+3)(2x-7)

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Solution for y=-(x+3)(2x-7) equation:


Simplifying
y = -1(x + 3)(2x + -7)

Reorder the terms:
y = -1(3 + x)(2x + -7)

Reorder the terms:
y = -1(3 + x)(-7 + 2x)

Multiply (3 + x) * (-7 + 2x)
y = -1(3(-7 + 2x) + x(-7 + 2x))
y = -1((-7 * 3 + 2x * 3) + x(-7 + 2x))
y = -1((-21 + 6x) + x(-7 + 2x))
y = -1(-21 + 6x + (-7 * x + 2x * x))
y = -1(-21 + 6x + (-7x + 2x2))

Combine like terms: 6x + -7x = -1x
y = -1(-21 + -1x + 2x2)
y = (-21 * -1 + -1x * -1 + 2x2 * -1)
y = (21 + 1x + -2x2)

Solving
y = 21 + 1x + -2x2

Solving for variable 'y'.

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

Simplifying
y = 21 + 1x + -2x2

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