2x(22x^2-3x-4)=0

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Solution for 2x(22x^2-3x-4)=0 equation:


Simplifying
2x(22x2 + -3x + -4) = 0

Reorder the terms:
2x(-4 + -3x + 22x2) = 0
(-4 * 2x + -3x * 2x + 22x2 * 2x) = 0
(-8x + -6x2 + 44x3) = 0

Solving
-8x + -6x2 + 44x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-4 + -3x + 22x2) = 0

Factor a trinomial.
2x((-4 + -11x)(1 + -2x)) = 0

Ignore the factor 2.

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 '(-4 + -11x)' equal to zero and attempt to solve: Simplifying -4 + -11x = 0 Solving -4 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -11x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -11x = 0 + 4 -11x = 0 + 4 Combine like terms: 0 + 4 = 4 -11x = 4 Divide each side by '-11'. x = -0.3636363636 Simplifying x = -0.3636363636

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, -0.3636363636, 0.5}

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