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Simplifying 0 = x(y7 + 1) + 4(y7 + 1) Reorder the terms: 0 = x(1 + y7) + 4(y7 + 1) 0 = (1 * x + y7 * x) + 4(y7 + 1) 0 = (1x + xy7) + 4(y7 + 1) Reorder the terms: 0 = 1x + xy7 + 4(1 + y7) 0 = 1x + xy7 + (1 * 4 + y7 * 4) 0 = 1x + xy7 + (4 + 4y7) Reorder the terms: 0 = 4 + 1x + xy7 + 4y7 Solving 0 = 4 + 1x + xy7 + 4y7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0 + -1x = 4 + 1x + xy7 + -1x + 4y7 Remove the zero: -1x = 4 + 1x + xy7 + -1x + 4y7 Reorder the terms: -1x = 4 + 1x + -1x + xy7 + 4y7 Combine like terms: 1x + -1x = 0 -1x = 4 + 0 + xy7 + 4y7 -1x = 4 + xy7 + 4y7 Add '-1xy7' to each side of the equation. -1x + -1xy7 = 4 + xy7 + -1xy7 + 4y7 Combine like terms: xy7 + -1xy7 = 0 -1x + -1xy7 = 4 + 0 + 4y7 -1x + -1xy7 = 4 + 4y7 Reorder the terms: -4 + -1x + -1xy7 + -4y7 = 4 + 4y7 + -4 + -4y7 Reorder the terms: -4 + -1x + -1xy7 + -4y7 = 4 + -4 + 4y7 + -4y7 Combine like terms: 4 + -4 = 0 -4 + -1x + -1xy7 + -4y7 = 0 + 4y7 + -4y7 -4 + -1x + -1xy7 + -4y7 = 4y7 + -4y7 Combine like terms: 4y7 + -4y7 = 0 -4 + -1x + -1xy7 + -4y7 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + x + xy7 + 4y7) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + x + xy7 + 4y7)' equal to zero and attempt to solve: Simplifying 4 + x + xy7 + 4y7 = 0 Solving 4 + x + xy7 + 4y7 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + x + xy7 + -4 + 4y7 = 0 + -4 Reorder the terms: 4 + -4 + x + xy7 + 4y7 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x + xy7 + 4y7 = 0 + -4 x + xy7 + 4y7 = 0 + -4 Combine like terms: 0 + -4 = -4 x + xy7 + 4y7 = -4 Add '-4y7' to each side of the equation. x + xy7 + 4y7 + -4y7 = -4 + -4y7 Combine like terms: 4y7 + -4y7 = 0 x + xy7 + 0 = -4 + -4y7 x + xy7 = -4 + -4y7 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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