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Simplifying (x + (3 + -3))(x + (3 + 3))(x + 5)(x + 5) = 0 Combine like terms: 3 + -3 = 0 (x + (0))(x + (3 + 3))(x + 5)(x + 5) = 0 (x + 0)(x + (3 + 3))(x + 5)(x + 5) = 0 Reorder the terms: (0 + x)(x + (3 + 3))(x + 5)(x + 5) = 0 Remove the zero: (x)(x + (3 + 3))(x + 5)(x + 5) = 0 Combine like terms: 3 + 3 = 6 x(x + (6))(x + 5)(x + 5) = 0 x(x + 6)(x + 5)(x + 5) = 0 Reorder the terms: x(6 + x)(x + 5)(x + 5) = 0 Reorder the terms: x(6 + x)(5 + x)(x + 5) = 0 Reorder the terms: x(6 + x)(5 + x)(5 + x) = 0 Multiply (6 + x) * (5 + x) x(6(5 + x) + x(5 + x))(5 + x) = 0 x((5 * 6 + x * 6) + x(5 + x))(5 + x) = 0 x((30 + 6x) + x(5 + x))(5 + x) = 0 x(30 + 6x + (5 * x + x * x))(5 + x) = 0 x(30 + 6x + (5x + x2))(5 + x) = 0 Combine like terms: 6x + 5x = 11x x(30 + 11x + x2)(5 + x) = 0 Multiply (30 + 11x + x2) * (5 + x) x(30(5 + x) + 11x * (5 + x) + x2(5 + x)) = 0 x((5 * 30 + x * 30) + 11x * (5 + x) + x2(5 + x)) = 0 x((150 + 30x) + 11x * (5 + x) + x2(5 + x)) = 0 x(150 + 30x + (5 * 11x + x * 11x) + x2(5 + x)) = 0 x(150 + 30x + (55x + 11x2) + x2(5 + x)) = 0 x(150 + 30x + 55x + 11x2 + (5 * x2 + x * x2)) = 0 x(150 + 30x + 55x + 11x2 + (5x2 + x3)) = 0 Combine like terms: 30x + 55x = 85x x(150 + 85x + 11x2 + 5x2 + x3) = 0 Combine like terms: 11x2 + 5x2 = 16x2 x(150 + 85x + 16x2 + x3) = 0 (150 * x + 85x * x + 16x2 * x + x3 * x) = 0 (150x + 85x2 + 16x3 + x4) = 0 Solving 150x + 85x2 + 16x3 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(150 + 85x + 16x2 + x3) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(150 + 85x + 16x2 + x3)' equal to zero and attempt to solve: Simplifying 150 + 85x + 16x2 + x3 = 0 Solving 150 + 85x + 16x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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