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Simplifying 12x2 + 6px + -4p = 0 Reorder the terms: -4p + 6px + 12x2 = 0 Solving -4p + 6px + 12x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12x2' to each side of the equation. -4p + 6px + 12x2 + -12x2 = 0 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -4p + 6px + 0 = 0 + -12x2 -4p + 6px = 0 + -12x2 Remove the zero: -4p + 6px = -12x2 Combine like terms: -12x2 + 12x2 = 0 -4p + 6px + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2p + 3px + 6x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2p + 3px + 6x2)' equal to zero and attempt to solve: Simplifying -2p + 3px + 6x2 = 0 Solving -2p + 3px + 6x2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-6x2' to each side of the equation. -2p + 3px + 6x2 + -6x2 = 0 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2p + 3px + 0 = 0 + -6x2 -2p + 3px = 0 + -6x2 Remove the zero: -2p + 3px = -6x2 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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