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Simplifying 6x3 + x = p(x) Reorder the terms: x + 6x3 = p(x) Multiply p * x x + 6x3 = px Solving x + 6x3 = px Solving for variable 'x'. Reorder the terms: -1px + x + 6x3 = px + -1px Combine like terms: px + -1px = 0 -1px + x + 6x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1p + 1 + 6x2) = 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 '(-1p + 1 + 6x2)' equal to zero and attempt to solve: Simplifying -1p + 1 + 6x2 = 0 Reorder the terms: 1 + -1p + 6x2 = 0 Solving 1 + -1p + 6x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1p + -1 + 6x2 = 0 + -1 Reorder the terms: 1 + -1 + -1p + 6x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p + 6x2 = 0 + -1 -1p + 6x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1p + 6x2 = -1 Add 'p' to each side of the equation. -1p + p + 6x2 = -1 + p Combine like terms: -1p + p = 0 0 + 6x2 = -1 + p 6x2 = -1 + p Divide each side by '6'. x2 = -0.1666666667 + 0.1666666667p Simplifying x2 = -0.1666666667 + 0.1666666667p 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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