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Simplifying (16 + 2x) * X(12 + 2x) = 320 Reorder the terms for easier multiplication: X(16 + 2x)(12 + 2x) = 320 Multiply (16 + 2x) * (12 + 2x) X(16(12 + 2x) + 2x * (12 + 2x)) = 320 X((12 * 16 + 2x * 16) + 2x * (12 + 2x)) = 320 X((192 + 32x) + 2x * (12 + 2x)) = 320 X(192 + 32x + (12 * 2x + 2x * 2x)) = 320 X(192 + 32x + (24x + 4x2)) = 320 Combine like terms: 32x + 24x = 56x X(192 + 56x + 4x2) = 320 (192 * X + 56x * X + 4x2 * X) = 320 (192X + 56xX + 4x2X) = 320 Solving 192X + 56xX + 4x2X = 320 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: -320 + 192X + 56xX + 4x2X = 320 + -320 Combine like terms: 320 + -320 = 0 -320 + 192X + 56xX + 4x2X = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-80 + 48X + 14xX + x2X) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-80 + 48X + 14xX + x2X)' equal to zero and attempt to solve: Simplifying -80 + 48X + 14xX + x2X = 0 Solving -80 + 48X + 14xX + x2X = 0 Move all terms containing X to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 48X + 14xX + 80 + x2X = 0 + 80 Reorder the terms: -80 + 80 + 48X + 14xX + x2X = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 48X + 14xX + x2X = 0 + 80 48X + 14xX + x2X = 0 + 80 Combine like terms: 0 + 80 = 80 48X + 14xX + x2X = 80 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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