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Simplifying 63x3 + 11x2 = -36x Reorder the terms: 11x2 + 63x3 = -36x Solving 11x2 + 63x3 = -36x Solving for variable 'x'. Reorder the terms: 36x + 11x2 + 63x3 = -36x + 36x Combine like terms: -36x + 36x = 0 36x + 11x2 + 63x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(36 + 11x + 63x2) = 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 '(36 + 11x + 63x2)' equal to zero and attempt to solve: Simplifying 36 + 11x + 63x2 = 0 Solving 36 + 11x + 63x2 = 0 Begin completing the square. Divide all terms by 63 the coefficient of the squared term: Divide each side by '63'. 0.5714285714 + 0.1746031746x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + 0.1746031746x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + 0.1746031746x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + 0.1746031746x + x2 = 0 + -0.5714285714 0.1746031746x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 0.1746031746x + x2 = -0.5714285714 The x term is 0.1746031746x. Take half its coefficient (0.0873015873). Square it (0.007621567145) and add it to both sides. Add '0.007621567145' to each side of the equation. 0.1746031746x + 0.007621567145 + x2 = -0.5714285714 + 0.007621567145 Reorder the terms: 0.007621567145 + 0.1746031746x + x2 = -0.5714285714 + 0.007621567145 Combine like terms: -0.5714285714 + 0.007621567145 = -0.563807004255 0.007621567145 + 0.1746031746x + x2 = -0.563807004255 Factor a perfect square on the left side: (x + 0.0873015873)(x + 0.0873015873) = -0.563807004255 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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