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Simplifying (X + -2)(x + -2)(10) = 810 Reorder the terms: (-2 + X)(x + -2)(10) = 810 Reorder the terms: (-2 + X)(-2 + x)(10) = 810 Reorder the terms for easier multiplication: 10(-2 + X)(-2 + x) = 810 Multiply (-2 + X) * (-2 + x) 10(-2(-2 + x) + X(-2 + x)) = 810 10((-2 * -2 + x * -2) + X(-2 + x)) = 810 10((4 + -2x) + X(-2 + x)) = 810 10(4 + -2x + (-2 * X + x * X)) = 810 10(4 + -2x + (-2X + xX)) = 810 Reorder the terms: 10(4 + -2X + -2x + xX) = 810 10(4 + -2X + -2x + xX) = 810 (4 * 10 + -2X * 10 + -2x * 10 + xX * 10) = 810 (40 + -20X + -20x + 10xX) = 810 Solving 40 + -20X + -20x + 10xX = 810 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -20X + -20x + -40 + 10xX = 810 + -40 Reorder the terms: 40 + -40 + -20X + -20x + 10xX = 810 + -40 Combine like terms: 40 + -40 = 0 0 + -20X + -20x + 10xX = 810 + -40 -20X + -20x + 10xX = 810 + -40 Combine like terms: 810 + -40 = 770 -20X + -20x + 10xX = 770 Add '20x' to each side of the equation. -20X + -20x + 20x + 10xX = 770 + 20x Combine like terms: -20x + 20x = 0 -20X + 0 + 10xX = 770 + 20x -20X + 10xX = 770 + 20x Reorder the terms: -770 + -20X + -20x + 10xX = 770 + 20x + -770 + -20x Reorder the terms: -770 + -20X + -20x + 10xX = 770 + -770 + 20x + -20x Combine like terms: 770 + -770 = 0 -770 + -20X + -20x + 10xX = 0 + 20x + -20x -770 + -20X + -20x + 10xX = 20x + -20x Combine like terms: 20x + -20x = 0 -770 + -20X + -20x + 10xX = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-77 + -2X + -2x + xX) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-77 + -2X + -2x + xX)' equal to zero and attempt to solve: Simplifying -77 + -2X + -2x + xX = 0 Solving -77 + -2X + -2x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '77' to each side of the equation. -77 + -2X + -2x + 77 + xX = 0 + 77 Reorder the terms: -77 + 77 + -2X + -2x + xX = 0 + 77 Combine like terms: -77 + 77 = 0 0 + -2X + -2x + xX = 0 + 77 -2X + -2x + xX = 0 + 77 Combine like terms: 0 + 77 = 77 -2X + -2x + xX = 77 Add '2x' to each side of the equation. -2X + -2x + 2x + xX = 77 + 2x Combine like terms: -2x + 2x = 0 -2X + 0 + xX = 77 + 2x -2X + xX = 77 + 2x 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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