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Simplifying (3p + -4) * x(3p + -4) = 0 Reorder the terms: (-4 + 3p) * x(3p + -4) = 0 Reorder the terms: (-4 + 3p) * x(-4 + 3p) = 0 Reorder the terms for easier multiplication: x(-4 + 3p)(-4 + 3p) = 0 Multiply (-4 + 3p) * (-4 + 3p) x(-4(-4 + 3p) + 3p * (-4 + 3p)) = 0 x((-4 * -4 + 3p * -4) + 3p * (-4 + 3p)) = 0 x((16 + -12p) + 3p * (-4 + 3p)) = 0 x(16 + -12p + (-4 * 3p + 3p * 3p)) = 0 x(16 + -12p + (-12p + 9p2)) = 0 Combine like terms: -12p + -12p = -24p x(16 + -24p + 9p2) = 0 (16 * x + -24p * x + 9p2 * x) = 0 Reorder the terms: (-24px + 9p2x + 16x) = 0 (-24px + 9p2x + 16x) = 0 Solving -24px + 9p2x + 16x = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'x'. x(-24p + 9p2 + 16) = 0 Factor a trinomial. x((3p + -4)(3p + -4)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing p to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3p + -4)' equal to zero and attempt to solve: Simplifying 3p + -4 = 0 Reorder the terms: -4 + 3p = 0 Solving -4 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3p = 0 + 4 3p = 0 + 4 Combine like terms: 0 + 4 = 4 3p = 4 Divide each side by '3'. p = 1.333333333 Simplifying p = 1.333333333Subproblem 3
Set the factor '(3p + -4)' equal to zero and attempt to solve: Simplifying 3p + -4 = 0 Reorder the terms: -4 + 3p = 0 Solving -4 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3p = 0 + 4 3p = 0 + 4 Combine like terms: 0 + 4 = 4 3p = 4 Divide each side by '3'. p = 1.333333333 Simplifying p = 1.333333333Solution
p = {1.333333333, 1.333333333}
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