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Simplifying 0 = (x + 7)(2X + 3) Reorder the terms: 0 = (7 + x)(2X + 3) Reorder the terms: 0 = (7 + x)(3 + 2X) Multiply (7 + x) * (3 + 2X) 0 = (7(3 + 2X) + x(3 + 2X)) 0 = ((3 * 7 + 2X * 7) + x(3 + 2X)) 0 = ((21 + 14X) + x(3 + 2X)) 0 = (21 + 14X + (3 * x + 2X * x)) 0 = (21 + 14X + (3x + 2xX)) 0 = (21 + 14X + 3x + 2xX) Solving 0 = 21 + 14X + 3x + 2xX Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14X' to each side of the equation. 0 + -14X = 21 + 14X + 3x + -14X + 2xX Remove the zero: -14X = 21 + 14X + 3x + -14X + 2xX Reorder the terms: -14X = 21 + 14X + -14X + 3x + 2xX Combine like terms: 14X + -14X = 0 -14X = 21 + 0 + 3x + 2xX -14X = 21 + 3x + 2xX Add '-2xX' to each side of the equation. -14X + -2xX = 21 + 3x + 2xX + -2xX Combine like terms: 2xX + -2xX = 0 -14X + -2xX = 21 + 3x + 0 -14X + -2xX = 21 + 3x Reorder the terms: -21 + -14X + -3x + -2xX = 21 + 3x + -21 + -3x Reorder the terms: -21 + -14X + -3x + -2xX = 21 + -21 + 3x + -3x Combine like terms: 21 + -21 = 0 -21 + -14X + -3x + -2xX = 0 + 3x + -3x -21 + -14X + -3x + -2xX = 3x + -3x Combine like terms: 3x + -3x = 0 -21 + -14X + -3x + -2xX = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(21 + 14X + 3x + 2xX) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(21 + 14X + 3x + 2xX)' equal to zero and attempt to solve: Simplifying 21 + 14X + 3x + 2xX = 0 Solving 21 + 14X + 3x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 14X + 3x + -21 + 2xX = 0 + -21 Reorder the terms: 21 + -21 + 14X + 3x + 2xX = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 14X + 3x + 2xX = 0 + -21 14X + 3x + 2xX = 0 + -21 Combine like terms: 0 + -21 = -21 14X + 3x + 2xX = -21 Add '-3x' to each side of the equation. 14X + 3x + -3x + 2xX = -21 + -3x Combine like terms: 3x + -3x = 0 14X + 0 + 2xX = -21 + -3x 14X + 2xX = -21 + -3x 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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