7x^5+175x^3=70x^4

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Solution for 7x^5+175x^3=70x^4 equation:


Simplifying
7x5 + 175x3 = 70x4

Reorder the terms:
175x3 + 7x5 = 70x4

Solving
175x3 + 7x5 = 70x4

Solving for variable 'x'.

Reorder the terms:
175x3 + -70x4 + 7x5 = 70x4 + -70x4

Combine like terms: 70x4 + -70x4 = 0
175x3 + -70x4 + 7x5 = 0

Factor out the Greatest Common Factor (GCF), '7x3'.
7x3(25 + -10x + x2) = 0

Factor a trinomial.
7x3((5 + -1x)(5 + -1x)) = 0

Ignore the factor 7.

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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Subproblem 3

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {5, 5}

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