(15x^7)+(20x^6)-(35x^5)=0

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Solution for (15x^7)+(20x^6)-(35x^5)=0 equation:


Simplifying
(15x7) + (20x6) + -1(35x5) = 0

Remove parenthesis around (35x5)
(15x7) + (20x6) + -1 * 35x5 = 0

Multiply -1 * 35
(15x7) + (20x6) + -35x5 = 0

Reorder the terms:
-35x5 + (20x6) + (15x7) = 0

Solving
-35x5 + (20x6) + (15x7) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x5'.
5x5(-7 + (4x) + (3x2)) = 0

Factor a trinomial.
5x5((-7 + -3x)(1 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333

Subproblem 3

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-2.333333333, 1}

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