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Simplifying x2 + 6x + 12p + -135 = 0 Reorder the terms: -135 + 12p + 6x + x2 = 0 Solving -135 + 12p + 6x + x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 12p + 6x + 135 + x2 = 0 + 135 Reorder the terms: -135 + 135 + 12p + 6x + x2 = 0 + 135 Combine like terms: -135 + 135 = 0 0 + 12p + 6x + x2 = 0 + 135 12p + 6x + x2 = 0 + 135 Combine like terms: 0 + 135 = 135 12p + 6x + x2 = 135 Add '-6x' to each side of the equation. 12p + 6x + -6x + x2 = 135 + -6x Combine like terms: 6x + -6x = 0 12p + 0 + x2 = 135 + -6x 12p + x2 = 135 + -6x Add '-1x2' to each side of the equation. 12p + x2 + -1x2 = 135 + -6x + -1x2 Combine like terms: x2 + -1x2 = 0 12p + 0 = 135 + -6x + -1x2 12p = 135 + -6x + -1x2 Divide each side by '12'. p = 11.25 + -0.5x + -0.08333333333x2 Simplifying p = 11.25 + -0.5x + -0.08333333333x2
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