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Simplifying (3x + 2p)(x3 + -3) = 0 Reorder the terms: (2p + 3x)(x3 + -3) = 0 Reorder the terms: (2p + 3x)(-3 + x3) = 0 Multiply (2p + 3x) * (-3 + x3) (2p * (-3 + x3) + 3x * (-3 + x3)) = 0 ((-3 * 2p + x3 * 2p) + 3x * (-3 + x3)) = 0 ((-6p + 2px3) + 3x * (-3 + x3)) = 0 (-6p + 2px3 + (-3 * 3x + x3 * 3x)) = 0 (-6p + 2px3 + (-9x + 3x4)) = 0 (-6p + 2px3 + -9x + 3x4) = 0 Solving -6p + 2px3 + -9x + 3x4 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9x' to each side of the equation. -6p + 2px3 + -9x + 9x + 3x4 = 0 + 9x Combine like terms: -9x + 9x = 0 -6p + 2px3 + 0 + 3x4 = 0 + 9x -6p + 2px3 + 3x4 = 0 + 9x Remove the zero: -6p + 2px3 + 3x4 = 9x Add '-3x4' to each side of the equation. -6p + 2px3 + 3x4 + -3x4 = 9x + -3x4 Combine like terms: 3x4 + -3x4 = 0 -6p + 2px3 + 0 = 9x + -3x4 -6p + 2px3 = 9x + -3x4 Reorder the terms: -6p + 2px3 + -9x + 3x4 = 9x + -9x + -3x4 + 3x4 Combine like terms: 9x + -9x = 0 -6p + 2px3 + -9x + 3x4 = 0 + -3x4 + 3x4 -6p + 2px3 + -9x + 3x4 = -3x4 + 3x4 Combine like terms: -3x4 + 3x4 = 0 -6p + 2px3 + -9x + 3x4 = 0 The solution to this equation could not be determined.
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