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Simplifying 7x3 + -12x2 + 212x = 0 Reorder the terms: 212x + -12x2 + 7x3 = 0 Solving 212x + -12x2 + 7x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(212 + -12x + 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 '(212 + -12x + 7x2)' equal to zero and attempt to solve: Simplifying 212 + -12x + 7x2 = 0 Solving 212 + -12x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 30.28571429 + -1.714285714x + x2 = 0 Move the constant term to the right: Add '-30.28571429' to each side of the equation. 30.28571429 + -1.714285714x + -30.28571429 + x2 = 0 + -30.28571429 Reorder the terms: 30.28571429 + -30.28571429 + -1.714285714x + x2 = 0 + -30.28571429 Combine like terms: 30.28571429 + -30.28571429 = 0.00000000 0.00000000 + -1.714285714x + x2 = 0 + -30.28571429 -1.714285714x + x2 = 0 + -30.28571429 Combine like terms: 0 + -30.28571429 = -30.28571429 -1.714285714x + x2 = -30.28571429 The x term is -1.714285714x. Take half its coefficient (-0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. -1.714285714x + 0.7346938773 + x2 = -30.28571429 + 0.7346938773 Reorder the terms: 0.7346938773 + -1.714285714x + x2 = -30.28571429 + 0.7346938773 Combine like terms: -30.28571429 + 0.7346938773 = -29.5510204127 0.7346938773 + -1.714285714x + x2 = -29.5510204127 Factor a perfect square on the left side: (x + -0.857142857)(x + -0.857142857) = -29.5510204127 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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