(-7x^5+12x^4+7x^3+9x)-(-3x^5-4x^4-11x^2+9x)=

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Solution for (-7x^5+12x^4+7x^3+9x)-(-3x^5-4x^4-11x^2+9x)= equation:


Simplifying
(-7x5 + 12x4 + 7x3 + 9x) + -1(-3x5 + -4x4 + -11x2 + 9x) = 0

Reorder the terms:
(9x + 7x3 + 12x4 + -7x5) + -1(-3x5 + -4x4 + -11x2 + 9x) = 0

Remove parenthesis around (9x + 7x3 + 12x4 + -7x5)
9x + 7x3 + 12x4 + -7x5 + -1(-3x5 + -4x4 + -11x2 + 9x) = 0

Reorder the terms:
9x + 7x3 + 12x4 + -7x5 + -1(9x + -11x2 + -4x4 + -3x5) = 0
9x + 7x3 + 12x4 + -7x5 + (9x * -1 + -11x2 * -1 + -4x4 * -1 + -3x5 * -1) = 0
9x + 7x3 + 12x4 + -7x5 + (-9x + 11x2 + 4x4 + 3x5) = 0

Reorder the terms:
9x + -9x + 11x2 + 7x3 + 12x4 + 4x4 + -7x5 + 3x5 = 0

Combine like terms: 9x + -9x = 0
0 + 11x2 + 7x3 + 12x4 + 4x4 + -7x5 + 3x5 = 0
11x2 + 7x3 + 12x4 + 4x4 + -7x5 + 3x5 = 0

Combine like terms: 12x4 + 4x4 = 16x4
11x2 + 7x3 + 16x4 + -7x5 + 3x5 = 0

Combine like terms: -7x5 + 3x5 = -4x5
11x2 + 7x3 + 16x4 + -4x5 = 0

Solving
11x2 + 7x3 + 16x4 + -4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(11 + 7x + 16x2 + -4x3) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(11 + 7x + 16x2 + -4x3)' equal to zero and attempt to solve: Simplifying 11 + 7x + 16x2 + -4x3 = 0 Solving 11 + 7x + 16x2 + -4x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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