(8x^4-15x^3)-(-20x^4+13x^3)=

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Solution for (8x^4-15x^3)-(-20x^4+13x^3)= equation:


Simplifying
(8x4 + -15x3) + -1(-20x4 + 13x3) = 0

Reorder the terms:
(-15x3 + 8x4) + -1(-20x4 + 13x3) = 0

Remove parenthesis around (-15x3 + 8x4)
-15x3 + 8x4 + -1(-20x4 + 13x3) = 0

Reorder the terms:
-15x3 + 8x4 + -1(13x3 + -20x4) = 0
-15x3 + 8x4 + (13x3 * -1 + -20x4 * -1) = 0
-15x3 + 8x4 + (-13x3 + 20x4) = 0

Reorder the terms:
-15x3 + -13x3 + 8x4 + 20x4 = 0

Combine like terms: -15x3 + -13x3 = -28x3
-28x3 + 8x4 + 20x4 = 0

Combine like terms: 8x4 + 20x4 = 28x4
-28x3 + 28x4 = 0

Solving
-28x3 + 28x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '28x3'.
28x3(-1 + x) = 0

Ignore the factor 28.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1

Solution

x = {1}

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