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Simplifying 4cm + 4cm(x + 3) = 20cm Reorder the terms: 4cm + 4cm(3 + x) = 20cm 4cm + (3 * 4cm + x * 4cm) = 20cm 4cm + (12cm + 4cmx) = 20cm Combine like terms: 4cm + 12cm = 16cm 16cm + 4cmx = 20cm Solving 16cm + 4cmx = 20cm Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20cm' to each side of the equation. 16cm + -20cm + 4cmx = 20cm + -20cm Combine like terms: 16cm + -20cm = -4cm -4cm + 4cmx = 20cm + -20cm Combine like terms: 20cm + -20cm = 0 -4cm + 4cmx = 0 Factor out the Greatest Common Factor (GCF), '4cm'. 4cm(-1 + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'cm' equal to zero and attempt to solve: Simplifying cm = 0 Solving cm = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cm = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -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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