7x^3+3x^2+5x=0

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Solution for 7x^3+3x^2+5x=0 equation:


Simplifying
7x3 + 3x2 + 5x = 0

Reorder the terms:
5x + 3x2 + 7x3 = 0

Solving
5x + 3x2 + 7x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 3x + 7x2) = 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 '(5 + 3x + 7x2)' equal to zero and attempt to solve: Simplifying 5 + 3x + 7x2 = 0 Solving 5 + 3x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + 0.4285714286x + x2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + 0.4285714286x + -0.7142857143 + x2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + 0.4285714286x + x2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + 0.4285714286x + x2 = 0 + -0.7142857143 0.4285714286x + x2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 0.4285714286x + x2 = -0.7142857143 The x term is 0.4285714286x. Take half its coefficient (0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. 0.4285714286x + 0.04591836735 + x2 = -0.7142857143 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286x + x2 = -0.7142857143 + 0.04591836735 Combine like terms: -0.7142857143 + 0.04591836735 = -0.66836734695 0.04591836735 + 0.4285714286x + x2 = -0.66836734695 Factor a perfect square on the left side: (x + 0.2142857143)(x + 0.2142857143) = -0.66836734695 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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