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Simplifying product(2x + 3)(x + 2) = 0 Reorder the terms: cdoprtu(3 + 2x)(x + 2) = 0 Reorder the terms: cdoprtu(3 + 2x)(2 + x) = 0 Multiply (3 + 2x) * (2 + x) cdoprtu(3(2 + x) + 2x * (2 + x)) = 0 cdoprtu((2 * 3 + x * 3) + 2x * (2 + x)) = 0 cdoprtu((6 + 3x) + 2x * (2 + x)) = 0 cdoprtu(6 + 3x + (2 * 2x + x * 2x)) = 0 cdoprtu(6 + 3x + (4x + 2x2)) = 0 Combine like terms: 3x + 4x = 7x cdoprtu(6 + 7x + 2x2) = 0 (6 * cdoprtu + 7x * cdoprtu + 2x2 * cdoprtu) = 0 (6cdoprtu + 7cdoprtux + 2cdoprtux2) = 0 Solving 6cdoprtu + 7cdoprtux + 2cdoprtux2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'cdoprtu'. cdoprtu(6 + 7x + 2x2) = 0 Factor a trinomial. cdoprtu((2 + x)(3 + 2x)) = 0Subproblem 1
Set the factor 'cdoprtu' equal to zero and attempt to solve: Simplifying cdoprtu = 0 Solving cdoprtu = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cdoprtu = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Add '-2x' to each side of the equation. 2x + -2x = -3 + -2x Combine like terms: 2x + -2x = 0 0 = -3 + -2x Simplifying 0 = -3 + -2x 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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