3x(20x^2-8x-1)=0

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Solution for 3x(20x^2-8x-1)=0 equation:


Simplifying
3x(20x2 + -8x + -1) = 0

Reorder the terms:
3x(-1 + -8x + 20x2) = 0
(-1 * 3x + -8x * 3x + 20x2 * 3x) = 0
(-3x + -24x2 + 60x3) = 0

Solving
-3x + -24x2 + 60x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + -8x + 20x2) = 0

Factor a trinomial.
3x((-1 + -10x)(1 + -2x)) = 0

Ignore the factor 3.

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 + -10x)' equal to zero and attempt to solve: Simplifying -1 + -10x = 0 Solving -1 + -10x = 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 + -10x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 0 + 1 -10x = 0 + 1 Combine like terms: 0 + 1 = 1 -10x = 1 Divide each side by '-10'. x = -0.1 Simplifying x = -0.1

Subproblem 3

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {0, -0.1, 0.5}

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