y=(x^2+1)(12x)-(6x^2+7)(2x)

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Solution for y=(x^2+1)(12x)-(6x^2+7)(2x) equation: 


Simplifying
y = (x2 + 1)(12x) + -1(6x2 + 7)(2x)

Reorder the terms:
y = (1 + x2)(12x) + -1(6x2 + 7)(2x)

Remove parenthesis around (12x)
y = (1 + x2) * 12x + -1(6x2 + 7)(2x)

Reorder the terms for easier multiplication:
y = 12x(1 + x2) + -1(6x2 + 7)(2x)
y = (1 * 12x + x2 * 12x) + -1(6x2 + 7)(2x)
y = (12x + 12x3) + -1(6x2 + 7)(2x)

Reorder the terms:
y = 12x + 12x3 + -1(7 + 6x2)(2x)

Remove parenthesis around (2x)
y = 12x + 12x3 + -1(7 + 6x2) * 2x

Reorder the terms for easier multiplication:
y = 12x + 12x3 + -1 * 2x(7 + 6x2)

Multiply -1 * 2
y = 12x + 12x3 + -2x(7 + 6x2)
y = 12x + 12x3 + (7 * -2x + 6x2 * -2x)
y = 12x + 12x3 + (-14x + -12x3)

Reorder the terms:
y = 12x + -14x + 12x3 + -12x3

Combine like terms: 12x + -14x = -2x
y = -2x + 12x3 + -12x3

Combine like terms: 12x3 + -12x3 = 0
y = -2x + 0
y = -2x

Solving
y = -2x

Solving for variable 'y'.

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

Simplifying
y = -2x

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