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Simplifying 216 = (X + 4)(2x + 14) Reorder the terms: 216 = (4 + X)(2x + 14) Reorder the terms: 216 = (4 + X)(14 + 2x) Multiply (4 + X) * (14 + 2x) 216 = (4(14 + 2x) + X(14 + 2x)) 216 = ((14 * 4 + 2x * 4) + X(14 + 2x)) 216 = ((56 + 8x) + X(14 + 2x)) 216 = (56 + 8x + (14 * X + 2x * X)) 216 = (56 + 8x + (14X + 2xX)) Reorder the terms: 216 = (56 + 14X + 8x + 2xX) 216 = (56 + 14X + 8x + 2xX) Solving 216 = 56 + 14X + 8x + 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. 216 + -14X = 56 + 14X + 8x + -14X + 2xX Reorder the terms: 216 + -14X = 56 + 14X + -14X + 8x + 2xX Combine like terms: 14X + -14X = 0 216 + -14X = 56 + 0 + 8x + 2xX 216 + -14X = 56 + 8x + 2xX Add '-2xX' to each side of the equation. 216 + -14X + -2xX = 56 + 8x + 2xX + -2xX Combine like terms: 2xX + -2xX = 0 216 + -14X + -2xX = 56 + 8x + 0 216 + -14X + -2xX = 56 + 8x Add '-216' to each side of the equation. 216 + -14X + -216 + -2xX = 56 + -216 + 8x Reorder the terms: 216 + -216 + -14X + -2xX = 56 + -216 + 8x Combine like terms: 216 + -216 = 0 0 + -14X + -2xX = 56 + -216 + 8x -14X + -2xX = 56 + -216 + 8x Combine like terms: 56 + -216 = -160 -14X + -2xX = -160 + 8x Reorder the terms: 160 + -14X + -8x + -2xX = -160 + 8x + 160 + -8x Reorder the terms: 160 + -14X + -8x + -2xX = -160 + 160 + 8x + -8x Combine like terms: -160 + 160 = 0 160 + -14X + -8x + -2xX = 0 + 8x + -8x 160 + -14X + -8x + -2xX = 8x + -8x Combine like terms: 8x + -8x = 0 160 + -14X + -8x + -2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(80 + -7X + -4x + -1xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(80 + -7X + -4x + -1xX)' equal to zero and attempt to solve: Simplifying 80 + -7X + -4x + -1xX = 0 Solving 80 + -7X + -4x + -1xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -7X + -4x + -80 + -1xX = 0 + -80 Reorder the terms: 80 + -80 + -7X + -4x + -1xX = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -7X + -4x + -1xX = 0 + -80 -7X + -4x + -1xX = 0 + -80 Combine like terms: 0 + -80 = -80 -7X + -4x + -1xX = -80 Add '4x' to each side of the equation. -7X + -4x + 4x + -1xX = -80 + 4x Combine like terms: -4x + 4x = 0 -7X + 0 + -1xX = -80 + 4x -7X + -1xX = -80 + 4x 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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