14x^3+10x^2+6x=

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Solution for 14x^3+10x^2+6x= equation:


Simplifying
14x3 + 10x2 + 6x = 0

Reorder the terms:
6x + 10x2 + 14x3 = 0

Solving
6x + 10x2 + 14x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(3 + 5x + 7x2) = 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 '(3 + 5x + 7x2)' equal to zero and attempt to solve: Simplifying 3 + 5x + 7x2 = 0 Solving 3 + 5x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + 0.7142857143x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 0.7142857143x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 0.7142857143x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 0.7142857143x + x2 = 0 + -0.4285714286 0.7142857143x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 0.7142857143x + x2 = -0.4285714286 The x term is 0.7142857143x. Take half its coefficient (0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. 0.7142857143x + 0.1275510204 + x2 = -0.4285714286 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143x + x2 = -0.4285714286 + 0.1275510204 Combine like terms: -0.4285714286 + 0.1275510204 = -0.3010204082 0.1275510204 + 0.7142857143x + x2 = -0.3010204082 Factor a perfect square on the left side: (x + 0.3571428572)(x + 0.3571428572) = -0.3010204082 Can't calculate square root of the right side. 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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