y=(3x^3+7)(12x)-(6x^2-5)(9x^2)

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Solution for y=(3x^3+7)(12x)-(6x^2-5)(9x^2) equation:


Simplifying
y = (3x3 + 7)(12x) + -1(6x2 + -5)(9x2)

Reorder the terms:
y = (7 + 3x3)(12x) + -1(6x2 + -5)(9x2)

Remove parenthesis around (12x)
y = (7 + 3x3) * 12x + -1(6x2 + -5)(9x2)

Reorder the terms for easier multiplication:
y = 12x(7 + 3x3) + -1(6x2 + -5)(9x2)
y = (7 * 12x + 3x3 * 12x) + -1(6x2 + -5)(9x2)
y = (84x + 36x4) + -1(6x2 + -5)(9x2)

Reorder the terms:
y = 84x + 36x4 + -1(-5 + 6x2)(9x2)

Remove parenthesis around (9x2)
y = 84x + 36x4 + -1(-5 + 6x2) * 9x2

Reorder the terms for easier multiplication:
y = 84x + 36x4 + -1 * 9x2(-5 + 6x2)

Multiply -1 * 9
y = 84x + 36x4 + -9x2(-5 + 6x2)
y = 84x + 36x4 + (-5 * -9x2 + 6x2 * -9x2)
y = 84x + 36x4 + (45x2 + -54x4)

Reorder the terms:
y = 84x + 45x2 + 36x4 + -54x4

Combine like terms: 36x4 + -54x4 = -18x4
y = 84x + 45x2 + -18x4

Solving
y = 84x + 45x2 + -18x4

Solving for variable 'y'.

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

Simplifying
y = 84x + 45x2 + -18x4

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