X(3x^2+5x+4)=0

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Solution for X(3x^2+5x+4)=0 equation:


Simplifying
X(3x2 + 5x + 4) = 0

Reorder the terms:
X(4 + 5x + 3x2) = 0
(4 * X + 5x * X + 3x2 * X) = 0
(4X + 5xX + 3x2X) = 0

Solving
4X + 5xX + 3x2X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'X'.
X(4 + 5x + 3x2) = 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 '(4 + 5x + 3x2)' equal to zero and attempt to solve: Simplifying 4 + 5x + 3x2 = 0 Solving 4 + 5x + 3x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5x + -4 + 3x2 = 0 + -4 Reorder the terms: 4 + -4 + 5x + 3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x + 3x2 = 0 + -4 5x + 3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 5x + 3x2 = -4 Add '-5x' to each side of the equation. 5x + -5x + 3x2 = -4 + -5x Combine like terms: 5x + -5x = 0 0 + 3x2 = -4 + -5x 3x2 = -4 + -5x Add '-3x2' to each side of the equation. 3x2 + -3x2 = -4 + -5x + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = -4 + -5x + -3x2 Simplifying 0 = -4 + -5x + -3x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

X = {0}

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