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Simplifying 9p2 + 12px + 4x2 = 0 Reorder the terms: 12px + 9p2 + 4x2 = 0 Solving 12px + 9p2 + 4x2 = 0 Solving for variable 'p'. Factor a trinomial. (3p + 2x)(3p + 2x) = 0Subproblem 1
Set the factor '(3p + 2x)' equal to zero and attempt to solve: Simplifying 3p + 2x = 0 Solving 3p + 2x = 0 Move all terms containing p to the left, all other terms to the right. Add '-2x' to each side of the equation. 3p + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 3p + 0 = 0 + -2x 3p = 0 + -2x Remove the zero: 3p = -2x Divide each side by '3'. p = -0.6666666667x Simplifying p = -0.6666666667xSubproblem 2
Set the factor '(3p + 2x)' equal to zero and attempt to solve: Simplifying 3p + 2x = 0 Solving 3p + 2x = 0 Move all terms containing p to the left, all other terms to the right. Add '-2x' to each side of the equation. 3p + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 3p + 0 = 0 + -2x 3p = 0 + -2x Remove the zero: 3p = -2x Divide each side by '3'. p = -0.6666666667x Simplifying p = -0.6666666667xSolution
p = {-0.6666666667x, -0.6666666667x}
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