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Simplifying 8x6 + -1y2 = 2x4(4x2 + -1y) 8x6 + -1y2 = (4x2 * 2x4 + -1y * 2x4) Reorder the terms: 8x6 + -1y2 = (-2x4y + 8x6) 8x6 + -1y2 = (-2x4y + 8x6) Add '-8x6' to each side of the equation. 8x6 + -8x6 + -1y2 = -2x4y + 8x6 + -8x6 Combine like terms: 8x6 + -8x6 = 0 0 + -1y2 = -2x4y + 8x6 + -8x6 -1y2 = -2x4y + 8x6 + -8x6 Combine like terms: 8x6 + -8x6 = 0 -1y2 = -2x4y + 0 -1y2 = -2x4y Solving -1y2 = -2x4y Solving for variable 'y'. Reorder the terms: 2x4y + -1y2 = -2x4y + 2x4y Combine like terms: -2x4y + 2x4y = 0 2x4y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(2x4 + -1y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(2x4 + -1y)' equal to zero and attempt to solve: Simplifying 2x4 + -1y = 0 Solving 2x4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2x4' to each side of the equation. 2x4 + -2x4 + -1y = 0 + -2x4 Combine like terms: 2x4 + -2x4 = 0 0 + -1y = 0 + -2x4 -1y = 0 + -2x4 Remove the zero: -1y = -2x4 Divide each side by '-1'. y = 2x4 Simplifying y = 2x4Solution
y = {0, 2x4}
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