2x^3-(3x^2)-(35x)=0

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Solution for 2x^3-(3x^2)-(35x)=0 equation:


Simplifying
2x3 + -1(3x2) + -1(35x) = 0

Remove parenthesis around (3x2)
2x3 + -1 * 3x2 + -1(35x) = 0

Multiply -1 * 3
2x3 + -3x2 + -1(35x) = 0

Remove parenthesis around (35x)
2x3 + -3x2 + -1 * 35x = 0

Multiply -1 * 35
2x3 + -3x2 + -35x = 0

Reorder the terms:
-35x + -3x2 + 2x3 = 0

Solving
-35x + -3x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-35 + -3x + 2x2) = 0

Factor a trinomial.
x((-7 + -2x)(5 + -1x)) = 0

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 '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

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 = {0, -3.5, 5}

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