5x^3+50x=35x^2

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Solution for 5x^3+50x=35x^2 equation:


Simplifying
5x3 + 50x = 35x2

Reorder the terms:
50x + 5x3 = 35x2

Solving
50x + 5x3 = 35x2

Solving for variable 'x'.

Reorder the terms:
50x + -35x2 + 5x3 = 35x2 + -35x2

Combine like terms: 35x2 + -35x2 = 0
50x + -35x2 + 5x3 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(10 + -7x + x2) = 0

Factor a trinomial.
5x((2 + -1x)(5 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

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 = {0, 2, 5}

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