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Simplifying px2 + 6p2x + p = 0 Reorder the terms: p + px2 + 6p2x = 0 Solving p + px2 + 6p2x = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(1 + x2 + 6px) = 0Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(1 + x2 + 6px)' equal to zero and attempt to solve: Simplifying 1 + x2 + 6px = 0 Reorder the terms: 1 + 6px + x2 = 0 Solving 1 + 6px + x2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6px + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 6px + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6px + x2 = 0 + -1 6px + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 6px + x2 = -1 Add '-1x2' to each side of the equation. 6px + x2 + -1x2 = -1 + -1x2 Combine like terms: x2 + -1x2 = 0 6px + 0 = -1 + -1x2 6px = -1 + -1x2 Divide each side by '6x'. p = -0.1666666667x-1 + -0.1666666667x Simplifying p = -0.1666666667x-1 + -0.1666666667xSolution
p = {0, -0.1666666667x-1 + -0.1666666667x}
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