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Simplifying factoring(7b + 3)(4b + -12) = 0 Reorder the terms: acfginort(3 + 7b)(4b + -12) = 0 Reorder the terms: acfginort(3 + 7b)(-12 + 4b) = 0 Multiply (3 + 7b) * (-12 + 4b) acfginort(3(-12 + 4b) + 7b * (-12 + 4b)) = 0 acfginort((-12 * 3 + 4b * 3) + 7b * (-12 + 4b)) = 0 acfginort((-36 + 12b) + 7b * (-12 + 4b)) = 0 acfginort(-36 + 12b + (-12 * 7b + 4b * 7b)) = 0 acfginort(-36 + 12b + (-84b + 28b2)) = 0 Combine like terms: 12b + -84b = -72b acfginort(-36 + -72b + 28b2) = 0 (-36 * acfginort + -72b * acfginort + 28b2 * acfginort) = 0 Reorder the terms: (-72abcfginort + 28ab2cfginort + -36acfginort) = 0 (-72abcfginort + 28ab2cfginort + -36acfginort) = 0 Solving -72abcfginort + 28ab2cfginort + -36acfginort = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4acfginort'. 4acfginort(-18b + 7b2 + -9) = 0 Factor a trinomial. 4acfginort((b + -3)(7b + 3)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'acfginort' equal to zero and attempt to solve: Simplifying acfginort = 0 Solving acfginort = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acfginort = 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 '(b + -3)' equal to zero and attempt to solve: Simplifying b + -3 = 0 Reorder the terms: -3 + b = 0 Solving -3 + b = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + b = 0 + 3 b = 0 + 3 Combine like terms: 0 + 3 = 3 b = 3 Add '-1b' to each side of the equation. b + -1b = 3 + -1b Combine like terms: b + -1b = 0 0 = 3 + -1b Simplifying 0 = 3 + -1b 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 '(7b + 3)' equal to zero and attempt to solve: Simplifying 7b + 3 = 0 Reorder the terms: 3 + 7b = 0 Solving 3 + 7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7b = 0 + -3 7b = 0 + -3 Combine like terms: 0 + -3 = -3 7b = -3 Add '-7b' to each side of the equation. 7b + -7b = -3 + -7b Combine like terms: 7b + -7b = 0 0 = -3 + -7b Simplifying 0 = -3 + -7b 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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