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Simplifying 12p + 4pd(-2p) + 6pd = 0 Remove parenthesis around (-2p) 12p + 4dp * -2p + 6pd = 0 Reorder the terms for easier multiplication: 12p + 4 * -2dp * p + 6pd = 0 Multiply 4 * -2 12p + -8dp * p + 6pd = 0 Multiply dp * p 12p + -8dp2 + 6pd = 0 Reorder the terms: 6dp + -8dp2 + 12p = 0 Solving 6dp + -8dp2 + 12p = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12p' to each side of the equation. 6dp + -8dp2 + 12p + -12p = 0 + -12p Combine like terms: 12p + -12p = 0 6dp + -8dp2 + 0 = 0 + -12p 6dp + -8dp2 = 0 + -12p Remove the zero: 6dp + -8dp2 = -12p Combine like terms: -12p + 12p = 0 6dp + -8dp2 + 12p = 0 Factor out the Greatest Common Factor (GCF), '2p'. 2p(3d + -4dp + 6) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing d to the left, all other terms to the right. Add '-1p' to each side of the equation. p + -1p = 0 + -1p Remove the zero: 0 = -1p Simplifying 0 = -1p 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 '(3d + -4dp + 6)' equal to zero and attempt to solve: Simplifying 3d + -4dp + 6 = 0 Reorder the terms: 6 + 3d + -4dp = 0 Solving 6 + 3d + -4dp = 0 Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3d + -6 + -4dp = 0 + -6 Reorder the terms: 6 + -6 + 3d + -4dp = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3d + -4dp = 0 + -6 3d + -4dp = 0 + -6 Combine like terms: 0 + -6 = -6 3d + -4dp = -6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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