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Simplifying (5x2 + -1y2) * x2 = 0 Reorder the terms for easier multiplication: x2(5x2 + -1y2) = 0 (5x2 * x2 + -1y2 * x2) = 0 Reorder the terms: (-1x2y2 + 5x4) = 0 (-1x2y2 + 5x4) = 0 Solving -1x2y2 + 5x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-1y2 + 5x2) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-1y2 + 5x2)' equal to zero and attempt to solve: Simplifying -1y2 + 5x2 = 0 Reorder the terms: 5x2 + -1y2 = 0 Solving 5x2 + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. 5x2 + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 5x2 + 0 = 0 + y2 5x2 = 0 + y2 Remove the zero: 5x2 = y2 Divide each side by '5'. x2 = 0.2y2 Simplifying x2 = 0.2y2 Take the square root of each side: x = {-0.447213596y, 0.447213596y}Solution
x = {0, -0.447213596y, 0.447213596y}
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