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Simplifying (X + 1)(2x + -10) = -4 Reorder the terms: (1 + X)(2x + -10) = -4 Reorder the terms: (1 + X)(-10 + 2x) = -4 Multiply (1 + X) * (-10 + 2x) (1(-10 + 2x) + X(-10 + 2x)) = -4 ((-10 * 1 + 2x * 1) + X(-10 + 2x)) = -4 ((-10 + 2x) + X(-10 + 2x)) = -4 (-10 + 2x + (-10 * X + 2x * X)) = -4 (-10 + 2x + (-10X + 2xX)) = -4 Reorder the terms: (-10 + -10X + 2x + 2xX) = -4 (-10 + -10X + 2x + 2xX) = -4 Solving -10 + -10X + 2x + 2xX = -4 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -10X + 2x + 10 + 2xX = -4 + 10 Reorder the terms: -10 + 10 + -10X + 2x + 2xX = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -10X + 2x + 2xX = -4 + 10 -10X + 2x + 2xX = -4 + 10 Combine like terms: -4 + 10 = 6 -10X + 2x + 2xX = 6 Add '-2x' to each side of the equation. -10X + 2x + -2x + 2xX = 6 + -2x Combine like terms: 2x + -2x = 0 -10X + 0 + 2xX = 6 + -2x -10X + 2xX = 6 + -2x Reorder the terms: -6 + -10X + 2x + 2xX = 6 + -2x + -6 + 2x Reorder the terms: -6 + -10X + 2x + 2xX = 6 + -6 + -2x + 2x Combine like terms: 6 + -6 = 0 -6 + -10X + 2x + 2xX = 0 + -2x + 2x -6 + -10X + 2x + 2xX = -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -10X + 2x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -5X + x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -5X + x + xX)' equal to zero and attempt to solve: Simplifying -3 + -5X + x + xX = 0 Solving -3 + -5X + x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -5X + x + 3 + xX = 0 + 3 Reorder the terms: -3 + 3 + -5X + x + xX = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5X + x + xX = 0 + 3 -5X + x + xX = 0 + 3 Combine like terms: 0 + 3 = 3 -5X + x + xX = 3 Add '-1x' to each side of the equation. -5X + x + -1x + xX = 3 + -1x Combine like terms: x + -1x = 0 -5X + 0 + xX = 3 + -1x -5X + xX = 3 + -1x 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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