20x^3+16x^2+28x=

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Solution for 20x^3+16x^2+28x= equation:


Simplifying
20x3 + 16x2 + 28x = 0

Reorder the terms:
28x + 16x2 + 20x3 = 0

Solving
28x + 16x2 + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(7 + 4x + 5x2) = 0

Ignore the factor 4.

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 '(7 + 4x + 5x2)' equal to zero and attempt to solve: Simplifying 7 + 4x + 5x2 = 0 Solving 7 + 4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.4 + 0.8x + x2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + 0.8x + -1.4 + x2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + 0.8x + x2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.8x + x2 = 0 + -1.4 0.8x + x2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 0.8x + x2 = -1.4 The x term is 0.8x. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8x + 0.16 + x2 = -1.4 + 0.16 Reorder the terms: 0.16 + 0.8x + x2 = -1.4 + 0.16 Combine like terms: -1.4 + 0.16 = -1.24 0.16 + 0.8x + x2 = -1.24 Factor a perfect square on the left side: (x + 0.4)(x + 0.4) = -1.24 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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