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Simplifying 13x3 + 15x2 + 18x = 0 Reorder the terms: 18x + 15x2 + 13x3 = 0 Solving 18x + 15x2 + 13x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(18 + 15x + 13x2) = 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 '(18 + 15x + 13x2)' equal to zero and attempt to solve: Simplifying 18 + 15x + 13x2 = 0 Solving 18 + 15x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 1.384615385 + 1.153846154x + x2 = 0 Move the constant term to the right: Add '-1.384615385' to each side of the equation. 1.384615385 + 1.153846154x + -1.384615385 + x2 = 0 + -1.384615385 Reorder the terms: 1.384615385 + -1.384615385 + 1.153846154x + x2 = 0 + -1.384615385 Combine like terms: 1.384615385 + -1.384615385 = 0.000000000 0.000000000 + 1.153846154x + x2 = 0 + -1.384615385 1.153846154x + x2 = 0 + -1.384615385 Combine like terms: 0 + -1.384615385 = -1.384615385 1.153846154x + x2 = -1.384615385 The x term is 1.153846154x. Take half its coefficient (0.576923077). Square it (0.3328402368) and add it to both sides. Add '0.3328402368' to each side of the equation. 1.153846154x + 0.3328402368 + x2 = -1.384615385 + 0.3328402368 Reorder the terms: 0.3328402368 + 1.153846154x + x2 = -1.384615385 + 0.3328402368 Combine like terms: -1.384615385 + 0.3328402368 = -1.0517751482 0.3328402368 + 1.153846154x + x2 = -1.0517751482 Factor a perfect square on the left side: (x + 0.576923077)(x + 0.576923077) = -1.0517751482 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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