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Simplifying so(x + -7)(2x + -1) = 0 Reorder the terms: os(-7 + x)(2x + -1) = 0 Reorder the terms: os(-7 + x)(-1 + 2x) = 0 Multiply (-7 + x) * (-1 + 2x) os(-7(-1 + 2x) + x(-1 + 2x)) = 0 os((-1 * -7 + 2x * -7) + x(-1 + 2x)) = 0 os((7 + -14x) + x(-1 + 2x)) = 0 os(7 + -14x + (-1 * x + 2x * x)) = 0 os(7 + -14x + (-1x + 2x2)) = 0 Combine like terms: -14x + -1x = -15x os(7 + -15x + 2x2) = 0 (7 * os + -15x * os + 2x2 * os) = 0 (7os + -15osx + 2osx2) = 0 Solving 7os + -15osx + 2osx2 = 0 Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'os'. os(7 + -15x + 2x2) = 0 Factor a trinomial. os((1 + -2x)(7 + -1x)) = 0Subproblem 1
Set the factor 'os' equal to zero and attempt to solve: Simplifying os = 0 Solving os = 0 Move all terms containing o to the left, all other terms to the right. Simplifying os = 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 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing o to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Add '2x' to each side of the equation. -2x + 2x = -1 + 2x Combine like terms: -2x + 2x = 0 0 = -1 + 2x Simplifying 0 = -1 + 2x 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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing o to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Add 'x' to each side of the equation. -1x + x = -7 + x Combine like terms: -1x + x = 0 0 = -7 + x Simplifying 0 = -7 + x 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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