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Simplifying (X + -10)(2x + 8) = 0 Reorder the terms: (-10 + X)(2x + 8) = 0 Reorder the terms: (-10 + X)(8 + 2x) = 0 Multiply (-10 + X) * (8 + 2x) (-10(8 + 2x) + X(8 + 2x)) = 0 ((8 * -10 + 2x * -10) + X(8 + 2x)) = 0 ((-80 + -20x) + X(8 + 2x)) = 0 (-80 + -20x + (8 * X + 2x * X)) = 0 (-80 + -20x + (8X + 2xX)) = 0 Reorder the terms: (-80 + 8X + -20x + 2xX) = 0 (-80 + 8X + -20x + 2xX) = 0 Solving -80 + 8X + -20x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 8X + -20x + 80 + 2xX = 0 + 80 Reorder the terms: -80 + 80 + 8X + -20x + 2xX = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 8X + -20x + 2xX = 0 + 80 8X + -20x + 2xX = 0 + 80 Combine like terms: 0 + 80 = 80 8X + -20x + 2xX = 80 Add '20x' to each side of the equation. 8X + -20x + 20x + 2xX = 80 + 20x Combine like terms: -20x + 20x = 0 8X + 0 + 2xX = 80 + 20x 8X + 2xX = 80 + 20x Reorder the terms: -80 + 8X + -20x + 2xX = 80 + 20x + -80 + -20x Reorder the terms: -80 + 8X + -20x + 2xX = 80 + -80 + 20x + -20x Combine like terms: 80 + -80 = 0 -80 + 8X + -20x + 2xX = 0 + 20x + -20x -80 + 8X + -20x + 2xX = 20x + -20x Combine like terms: 20x + -20x = 0 -80 + 8X + -20x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + 4X + -10x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-40 + 4X + -10x + xX)' equal to zero and attempt to solve: Simplifying -40 + 4X + -10x + xX = 0 Solving -40 + 4X + -10x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 4X + -10x + 40 + xX = 0 + 40 Reorder the terms: -40 + 40 + 4X + -10x + xX = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 4X + -10x + xX = 0 + 40 4X + -10x + xX = 0 + 40 Combine like terms: 0 + 40 = 40 4X + -10x + xX = 40 Add '10x' to each side of the equation. 4X + -10x + 10x + xX = 40 + 10x Combine like terms: -10x + 10x = 0 4X + 0 + xX = 40 + 10x 4X + xX = 40 + 10x 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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