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Simplifying 4(2 + -7x)(5X + 8) = 0 Reorder the terms: 4(2 + -7x)(8 + 5X) = 0 Multiply (2 + -7x) * (8 + 5X) 4(2(8 + 5X) + -7x * (8 + 5X)) = 0 4((8 * 2 + 5X * 2) + -7x * (8 + 5X)) = 0 4((16 + 10X) + -7x * (8 + 5X)) = 0 4(16 + 10X + (8 * -7x + 5X * -7x)) = 0 4(16 + 10X + (-56x + -35xX)) = 0 4(16 + 10X + -56x + -35xX) = 0 (16 * 4 + 10X * 4 + -56x * 4 + -35xX * 4) = 0 (64 + 40X + -224x + -140xX) = 0 Solving 64 + 40X + -224x + -140xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + 40X + -224x + -64 + -140xX = 0 + -64 Reorder the terms: 64 + -64 + 40X + -224x + -140xX = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 40X + -224x + -140xX = 0 + -64 40X + -224x + -140xX = 0 + -64 Combine like terms: 0 + -64 = -64 40X + -224x + -140xX = -64 Add '224x' to each side of the equation. 40X + -224x + 224x + -140xX = -64 + 224x Combine like terms: -224x + 224x = 0 40X + 0 + -140xX = -64 + 224x 40X + -140xX = -64 + 224x Reorder the terms: 64 + 40X + -224x + -140xX = -64 + 224x + 64 + -224x Reorder the terms: 64 + 40X + -224x + -140xX = -64 + 64 + 224x + -224x Combine like terms: -64 + 64 = 0 64 + 40X + -224x + -140xX = 0 + 224x + -224x 64 + 40X + -224x + -140xX = 224x + -224x Combine like terms: 224x + -224x = 0 64 + 40X + -224x + -140xX = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(16 + 10X + -56x + -35xX) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(16 + 10X + -56x + -35xX)' equal to zero and attempt to solve: Simplifying 16 + 10X + -56x + -35xX = 0 Solving 16 + 10X + -56x + -35xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 10X + -56x + -16 + -35xX = 0 + -16 Reorder the terms: 16 + -16 + 10X + -56x + -35xX = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 10X + -56x + -35xX = 0 + -16 10X + -56x + -35xX = 0 + -16 Combine like terms: 0 + -16 = -16 10X + -56x + -35xX = -16 Add '56x' to each side of the equation. 10X + -56x + 56x + -35xX = -16 + 56x Combine like terms: -56x + 56x = 0 10X + 0 + -35xX = -16 + 56x 10X + -35xX = -16 + 56x 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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