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Simplifying 6x2(p + q2) + -1(p + q2) = 0 (p * 6x2 + q2 * 6x2) + -1(p + q2) = 0 (6px2 + 6q2x2) + -1(p + q2) = 0 6px2 + 6q2x2 + (p * -1 + q2 * -1) = 0 6px2 + 6q2x2 + (-1p + -1q2) = 0 Reorder the terms: -1p + 6px2 + -1q2 + 6q2x2 = 0 Solving -1p + 6px2 + -1q2 + 6q2x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'q2' to each side of the equation. -1p + 6px2 + -1q2 + q2 + 6q2x2 = 0 + q2 Combine like terms: -1q2 + q2 = 0 -1p + 6px2 + 0 + 6q2x2 = 0 + q2 -1p + 6px2 + 6q2x2 = 0 + q2 Remove the zero: -1p + 6px2 + 6q2x2 = q2 Add '-6q2x2' to each side of the equation. -1p + 6px2 + 6q2x2 + -6q2x2 = q2 + -6q2x2 Combine like terms: 6q2x2 + -6q2x2 = 0 -1p + 6px2 + 0 = q2 + -6q2x2 -1p + 6px2 = q2 + -6q2x2 Reorder the terms: -1p + 6px2 + -1q2 + 6q2x2 = q2 + -1q2 + -6q2x2 + 6q2x2 Combine like terms: q2 + -1q2 = 0 -1p + 6px2 + -1q2 + 6q2x2 = 0 + -6q2x2 + 6q2x2 -1p + 6px2 + -1q2 + 6q2x2 = -6q2x2 + 6q2x2 Combine like terms: -6q2x2 + 6q2x2 = 0 -1p + 6px2 + -1q2 + 6q2x2 = 0 The solution to this equation could not be determined.
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