y=(19x^2+9x+16)-(5x^2+12x+7)

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Solution for y=(19x^2+9x+16)-(5x^2+12x+7) equation:


Simplifying
y = (19x2 + 9x + 16) + -1(5x2 + 12x + 7)

Reorder the terms:
y = (16 + 9x + 19x2) + -1(5x2 + 12x + 7)

Remove parenthesis around (16 + 9x + 19x2)
y = 16 + 9x + 19x2 + -1(5x2 + 12x + 7)

Reorder the terms:
y = 16 + 9x + 19x2 + -1(7 + 12x + 5x2)
y = 16 + 9x + 19x2 + (7 * -1 + 12x * -1 + 5x2 * -1)
y = 16 + 9x + 19x2 + (-7 + -12x + -5x2)

Reorder the terms:
y = 16 + -7 + 9x + -12x + 19x2 + -5x2

Combine like terms: 16 + -7 = 9
y = 9 + 9x + -12x + 19x2 + -5x2

Combine like terms: 9x + -12x = -3x
y = 9 + -3x + 19x2 + -5x2

Combine like terms: 19x2 + -5x2 = 14x2
y = 9 + -3x + 14x2

Solving
y = 9 + -3x + 14x2

Solving for variable 'y'.

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

Simplifying
y = 9 + -3x + 14x2

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