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Simplifying 0 = x3(y + 4) + y(y + 4) Reorder the terms: 0 = x3(4 + y) + y(y + 4) 0 = (4 * x3 + y * x3) + y(y + 4) 0 = (4x3 + x3y) + y(y + 4) Reorder the terms: 0 = 4x3 + x3y + y(4 + y) 0 = 4x3 + x3y + (4 * y + y * y) 0 = 4x3 + x3y + (4y + y2) Solving 0 = 4x3 + x3y + 4y + y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x3' to each side of the equation. 0 + -4x3 = 4x3 + x3y + 4y + -4x3 + y2 Remove the zero: -4x3 = 4x3 + x3y + 4y + -4x3 + y2 Reorder the terms: -4x3 = 4x3 + -4x3 + x3y + 4y + y2 Combine like terms: 4x3 + -4x3 = 0 -4x3 = 0 + x3y + 4y + y2 -4x3 = x3y + 4y + y2 Add '-1x3y' to each side of the equation. -4x3 + -1x3y = x3y + 4y + -1x3y + y2 Reorder the terms: -4x3 + -1x3y = x3y + -1x3y + 4y + y2 Combine like terms: x3y + -1x3y = 0 -4x3 + -1x3y = 0 + 4y + y2 -4x3 + -1x3y = 4y + y2 Reorder the terms: -4x3 + -1x3y + -4y + -1y2 = 4y + -4y + y2 + -1y2 Combine like terms: 4y + -4y = 0 -4x3 + -1x3y + -4y + -1y2 = 0 + y2 + -1y2 -4x3 + -1x3y + -4y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -4x3 + -1x3y + -4y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4x3 + x3y + 4y + y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4x3 + x3y + 4y + y2)' equal to zero and attempt to solve: Simplifying 4x3 + x3y + 4y + y2 = 0 Solving 4x3 + x3y + 4y + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 4x3 + x3y + 4y + -4y + y2 = 0 + -4y Combine like terms: 4y + -4y = 0 4x3 + x3y + 0 + y2 = 0 + -4y 4x3 + x3y + y2 = 0 + -4y Remove the zero: 4x3 + x3y + y2 = -4y Add '-1y2' to each side of the equation. 4x3 + x3y + y2 + -1y2 = -4y + -1y2 Combine like terms: y2 + -1y2 = 0 4x3 + x3y + 0 = -4y + -1y2 4x3 + x3y = -4y + -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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