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Simplifying 4x2 + 4x + p2 = 0 Reorder the terms: p2 + 4x + 4x2 = 0 Solving p2 + 4x + 4x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4x' to each side of the equation. p2 + 4x + -4x + 4x2 = 0 + -4x Combine like terms: 4x + -4x = 0 p2 + 0 + 4x2 = 0 + -4x p2 + 4x2 = 0 + -4x Remove the zero: p2 + 4x2 = -4x Add '-4x2' to each side of the equation. p2 + 4x2 + -4x2 = -4x + -4x2 Combine like terms: 4x2 + -4x2 = 0 p2 + 0 = -4x + -4x2 p2 = -4x + -4x2 Simplifying p2 = -4x + -4x2 Reorder the terms: p2 + 4x + 4x2 = -4x + 4x + -4x2 + 4x2 Combine like terms: -4x + 4x = 0 p2 + 4x + 4x2 = 0 + -4x2 + 4x2 p2 + 4x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 p2 + 4x + 4x2 = 0 Factor a trinomial. (p + 2x)(p + 2x) = 0Subproblem 1
Set the factor '(p + 2x)' equal to zero and attempt to solve: Simplifying p + 2x = 0 Solving p + 2x = 0 Move all terms containing p to the left, all other terms to the right. Add '-2x' to each side of the equation. p + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 p + 0 = 0 + -2x p = 0 + -2x Remove the zero: p = -2x Simplifying p = -2xSubproblem 2
Set the factor '(p + 2x)' equal to zero and attempt to solve: Simplifying p + 2x = 0 Solving p + 2x = 0 Move all terms containing p to the left, all other terms to the right. Add '-2x' to each side of the equation. p + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 p + 0 = 0 + -2x p = 0 + -2x Remove the zero: p = -2x Simplifying p = -2xSolution
p = {-2x, -2x}
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