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Simplifying p(x) = x2 + 2xfindp(1) Multiply p * x px = x2 + 2xfindp(1) Reorder the terms for easier multiplication: px = x2 + 2 * 1dfinpx Multiply 2 * 1 px = x2 + 2dfinpx Reorder the terms: px = 2dfinpx + x2 Solving px = 2dfinpx + x2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2dfinpx' to each side of the equation. -2dfinpx + px = 2dfinpx + -2dfinpx + x2 Combine like terms: 2dfinpx + -2dfinpx = 0 -2dfinpx + px = 0 + x2 -2dfinpx + px = x2 Combine like terms: x2 + -1x2 = 0 -2dfinpx + px + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-2dfinp + p + -1x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing p to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2dfinp + p + -1x)' equal to zero and attempt to solve: Simplifying -2dfinp + p + -1x = 0 Solving -2dfinp + p + -1x = 0 Move all terms containing p to the left, all other terms to the right. Add 'x' to each side of the equation. -2dfinp + p + -1x + x = 0 + x Combine like terms: -1x + x = 0 -2dfinp + p + 0 = 0 + x -2dfinp + p = 0 + x Remove the zero: -2dfinp + p = x 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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