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Simplifying (7x3 + -6x2 + 7x) = 0 Reorder the terms: (7x + -6x2 + 7x3) = 0 Remove parenthesis around (7x + -6x2 + 7x3) 7x + -6x2 + 7x3 = 0 Solving 7x + -6x2 + 7x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + -6x + 7x2) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(7 + -6x + 7x2)' equal to zero and attempt to solve: Simplifying 7 + -6x + 7x2 = 0 Solving 7 + -6x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + -0.8571428571x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.8571428571x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.8571428571x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.8571428571x + x2 = 0 + -1 -0.8571428571x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.8571428571x + x2 = -1 The x term is -0.8571428571x. Take half its coefficient (-0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. -0.8571428571x + 0.1836734694 + x2 = -1 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571x + x2 = -1 + 0.1836734694 Combine like terms: -1 + 0.1836734694 = -0.8163265306 0.1836734694 + -0.8571428571x + x2 = -0.8163265306 Factor a perfect square on the left side: (x + -0.4285714286)(x + -0.4285714286) = -0.8163265306 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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