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Simplifying 4z2 + x2 = 4 Reorder the terms: x2 + 4z2 = 4 Solving x2 + 4z2 = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4z2' to each side of the equation. x2 + 4z2 + -4z2 = 4 + -4z2 Combine like terms: 4z2 + -4z2 = 0 x2 + 0 = 4 + -4z2 x2 = 4 + -4z2 Simplifying x2 = 4 + -4z2 Reorder the terms: -4 + x2 + 4z2 = 4 + -4z2 + -4 + 4z2 Reorder the terms: -4 + x2 + 4z2 = 4 + -4 + -4z2 + 4z2 Combine like terms: 4 + -4 = 0 -4 + x2 + 4z2 = 0 + -4z2 + 4z2 -4 + x2 + 4z2 = -4z2 + 4z2 Combine like terms: -4z2 + 4z2 = 0 -4 + x2 + 4z2 = 0 Factor a trinomial. (x + -2z)(x + -2z) = 0Subproblem 1
Set the factor '(x + -2z)' equal to zero and attempt to solve: Simplifying x + -2z = 0 Solving x + -2z = 0 Move all terms containing x to the left, all other terms to the right. Add '2z' to each side of the equation. x + -2z + 2z = 0 + 2z Combine like terms: -2z + 2z = 0 x + 0 = 0 + 2z x = 0 + 2z Remove the zero: x = 2z Simplifying x = 2zSubproblem 2
Set the factor '(x + -2z)' equal to zero and attempt to solve: Simplifying x + -2z = 0 Solving x + -2z = 0 Move all terms containing x to the left, all other terms to the right. Add '2z' to each side of the equation. x + -2z + 2z = 0 + 2z Combine like terms: -2z + 2z = 0 x + 0 = 0 + 2z x = 0 + 2z Remove the zero: x = 2z Simplifying x = 2zSolution
x = {2z, 2z}
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