5x(6x^2-5x+5)=

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Solution for 5x(6x^2-5x+5)= equation:


Simplifying
5x(6x2 + -5x + 5) = 0

Reorder the terms:
5x(5 + -5x + 6x2) = 0
(5 * 5x + -5x * 5x + 6x2 * 5x) = 0
(25x + -25x2 + 30x3) = 0

Solving
25x + -25x2 + 30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(5 + -5x + 6x2) = 0

Ignore the factor 5.

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 + 6x2)' equal to zero and attempt to solve: Simplifying 5 + -5x + 6x2 = 0 Solving 5 + -5x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.8333333333 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -0.8333333333x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -0.8333333333x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -0.8333333333x + x2 = 0 + -0.8333333333 -0.8333333333x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -0.8333333333x + x2 = -0.8333333333 The x term is -0.8333333333x. Take half its coefficient (-0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. -0.8333333333x + 0.1736111111 + x2 = -0.8333333333 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333x + x2 = -0.8333333333 + 0.1736111111 Combine like terms: -0.8333333333 + 0.1736111111 = -0.6597222222 0.1736111111 + -0.8333333333x + x2 = -0.6597222222 Factor a perfect square on the left side: (x + -0.4166666667)(x + -0.4166666667) = -0.6597222222 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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