4x(3x^2-5x+5)=

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


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

Reorder the terms:
4x(5 + -5x + 3x2) = 0
(5 * 4x + -5x * 4x + 3x2 * 4x) = 0
(20x + -20x2 + 12x3) = 0

Solving
20x + -20x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(5 + -5x + 3x2) = 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 '(5 + -5x + 3x2)' equal to zero and attempt to solve: Simplifying 5 + -5x + 3x2 = 0 Solving 5 + -5x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.666666667 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + -1.666666667x + -1.666666667 + x2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + -1.666666667x + x2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + -1.666666667x + x2 = 0 + -1.666666667 -1.666666667x + x2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 -1.666666667x + x2 = -1.666666667 The x term is -1.666666667x. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667x + 0.6944444447 + x2 = -1.666666667 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -1.666666667 + 0.6944444447 Combine like terms: -1.666666667 + 0.6944444447 = -0.9722222223 0.6944444447 + -1.666666667x + x2 = -0.9722222223 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -0.9722222223 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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