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Simplifying (c + -2d)(c + -2d) = 0 Multiply (c + -2d) * (c + -2d) (c(c + -2d) + -2d * (c + -2d)) = 0 ((c * c + -2d * c) + -2d * (c + -2d)) = 0 Reorder the terms: ((-2cd + c2) + -2d * (c + -2d)) = 0 ((-2cd + c2) + -2d * (c + -2d)) = 0 (-2cd + c2 + (c * -2d + -2d * -2d)) = 0 (-2cd + c2 + (-2cd + 4d2)) = 0 Reorder the terms: (-2cd + -2cd + c2 + 4d2) = 0 Combine like terms: -2cd + -2cd = -4cd (-4cd + c2 + 4d2) = 0 Solving -4cd + c2 + 4d2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -2d)(c + -2d) = 0Subproblem 1
Set the factor '(c + -2d)' equal to zero and attempt to solve: Simplifying c + -2d = 0 Solving c + -2d = 0 Move all terms containing c to the left, all other terms to the right. Add '2d' to each side of the equation. c + -2d + 2d = 0 + 2d Combine like terms: -2d + 2d = 0 c + 0 = 0 + 2d c = 0 + 2d Remove the zero: c = 2d Simplifying c = 2dSubproblem 2
Set the factor '(c + -2d)' equal to zero and attempt to solve: Simplifying c + -2d = 0 Solving c + -2d = 0 Move all terms containing c to the left, all other terms to the right. Add '2d' to each side of the equation. c + -2d + 2d = 0 + 2d Combine like terms: -2d + 2d = 0 c + 0 = 0 + 2d c = 0 + 2d Remove the zero: c = 2d Simplifying c = 2dSolution
c = {2d, 2d}
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