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Simplifying x2 + 4y4 = 4 Solving x2 + 4y4 = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y4' to each side of the equation. x2 + 4y4 + -4y4 = 4 + -4y4 Combine like terms: 4y4 + -4y4 = 0 x2 + 0 = 4 + -4y4 x2 = 4 + -4y4 Simplifying x2 = 4 + -4y4 Reorder the terms: -4 + x2 + 4y4 = 4 + -4y4 + -4 + 4y4 Reorder the terms: -4 + x2 + 4y4 = 4 + -4 + -4y4 + 4y4 Combine like terms: 4 + -4 = 0 -4 + x2 + 4y4 = 0 + -4y4 + 4y4 -4 + x2 + 4y4 = -4y4 + 4y4 Combine like terms: -4y4 + 4y4 = 0 -4 + x2 + 4y4 = 0 Factor a trinomial. (x + -2y2)(x + -2y2) = 0Subproblem 1
Set the factor '(x + -2y2)' equal to zero and attempt to solve: Simplifying x + -2y2 = 0 Solving x + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2y2' to each side of the equation. x + -2y2 + 2y2 = 0 + 2y2 Combine like terms: -2y2 + 2y2 = 0 x + 0 = 0 + 2y2 x = 0 + 2y2 Remove the zero: x = 2y2 Simplifying x = 2y2Subproblem 2
Set the factor '(x + -2y2)' equal to zero and attempt to solve: Simplifying x + -2y2 = 0 Solving x + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2y2' to each side of the equation. x + -2y2 + 2y2 = 0 + 2y2 Combine like terms: -2y2 + 2y2 = 0 x + 0 = 0 + 2y2 x = 0 + 2y2 Remove the zero: x = 2y2 Simplifying x = 2y2Solution
x = {2y2, 2y2}
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