2x(6x^2-5x+7)=

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Solution for 2x(6x^2-5x+7)= equation:


Simplifying
2x(6x2 + -5x + 7) = 0

Reorder the terms:
2x(7 + -5x + 6x2) = 0
(7 * 2x + -5x * 2x + 6x2 * 2x) = 0
(14x + -10x2 + 12x3) = 0

Solving
14x + -10x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(7 + -5x + 6x2) = 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 '(7 + -5x + 6x2)' equal to zero and attempt to solve: Simplifying 7 + -5x + 6x2 = 0 Solving 7 + -5x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.166666667 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -0.8333333333x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -0.8333333333x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -0.8333333333x + x2 = 0 + -1.166666667 -0.8333333333x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -0.8333333333x + x2 = -1.166666667 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 = -1.166666667 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333x + x2 = -1.166666667 + 0.1736111111 Combine like terms: -1.166666667 + 0.1736111111 = -0.9930555559 0.1736111111 + -0.8333333333x + x2 = -0.9930555559 Factor a perfect square on the left side: (x + -0.4166666667)(x + -0.4166666667) = -0.9930555559 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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