6x^3-23x^2=-7x

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Solution for 6x^3-23x^2=-7x equation:


Simplifying
6x3 + -23x2 = -7x

Reorder the terms:
-23x2 + 6x3 = -7x

Solving
-23x2 + 6x3 = -7x

Solving for variable 'x'.

Reorder the terms:
7x + -23x2 + 6x3 = -7x + 7x

Combine like terms: -7x + 7x = 0
7x + -23x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + -23x + 6x2) = 0

Factor a trinomial.
x((1 + -3x)(7 + -2x)) = 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 '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Subproblem 3

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

Solution

x = {0, 0.3333333333, 3.5}

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