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Simplifying x2 = 4y2 + 3 Reorder the terms: x2 = 3 + 4y2 Solving x2 = 3 + 4y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 3 + 4y2 Reorder the terms: -3 + x2 + -4y2 = 3 + 4y2 + -3 + -4y2 Reorder the terms: -3 + x2 + -4y2 = 3 + -3 + 4y2 + -4y2 Combine like terms: 3 + -3 = 0 -3 + x2 + -4y2 = 0 + 4y2 + -4y2 -3 + x2 + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -3 + x2 + -4y2 = 0 Factor a trinomial. (x + -4y)(x + y) = 0Subproblem 1
Set the factor '(x + -4y)' equal to zero and attempt to solve: Simplifying x + -4y = 0 Solving x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 x + 0 = 0 + 4y x = 0 + 4y Remove the zero: x = 4y Simplifying x = 4ySubproblem 2
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySolution
x = {4y, -1y}
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