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Simplifying x = y + 5x(x + 1) Reorder the terms: x = y + 5x(1 + x) x = y + (1 * 5x + x * 5x) x = y + (5x + 5x2) Reorder the terms: x = 5x + 5x2 + y Solving x = 5x + 5x2 + y Solving for variable 'x'. Combine like terms: x + -5x = -4x -4x + -5x2 + -1y = 5x + 5x2 + y + -5x + -5x2 + -1y Reorder the terms: -4x + -5x2 + -1y = 5x + -5x + 5x2 + -5x2 + y + -1y Combine like terms: 5x + -5x = 0 -4x + -5x2 + -1y = 0 + 5x2 + -5x2 + y + -1y -4x + -5x2 + -1y = 5x2 + -5x2 + y + -1y Combine like terms: 5x2 + -5x2 = 0 -4x + -5x2 + -1y = 0 + y + -1y -4x + -5x2 + -1y = y + -1y Combine like terms: y + -1y = 0 -4x + -5x2 + -1y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4x + 5x2 + y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4x + 5x2 + y)' equal to zero and attempt to solve: Simplifying 4x + 5x2 + y = 0 Solving 4x + 5x2 + y = 0 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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