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Simplifying factoring(2x + 3)(3x + -7) = 0 Reorder the terms: acfginort(3 + 2x)(3x + -7) = 0 Reorder the terms: acfginort(3 + 2x)(-7 + 3x) = 0 Multiply (3 + 2x) * (-7 + 3x) acfginort(3(-7 + 3x) + 2x * (-7 + 3x)) = 0 acfginort((-7 * 3 + 3x * 3) + 2x * (-7 + 3x)) = 0 acfginort((-21 + 9x) + 2x * (-7 + 3x)) = 0 acfginort(-21 + 9x + (-7 * 2x + 3x * 2x)) = 0 acfginort(-21 + 9x + (-14x + 6x2)) = 0 Combine like terms: 9x + -14x = -5x acfginort(-21 + -5x + 6x2) = 0 (-21 * acfginort + -5x * acfginort + 6x2 * acfginort) = 0 (-21acfginort + -5acfginortx + 6acfginortx2) = 0 Solving -21acfginort + -5acfginortx + 6acfginortx2 = 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), 'acfginort'. acfginort(-21 + -5x + 6x2) = 0 Factor a trinomial. acfginort((-3 + -2x)(7 + -3x)) = 0Subproblem 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 '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -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.Subproblem 3
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Add '3x' to each side of the equation. -3x + 3x = -7 + 3x Combine like terms: -3x + 3x = 0 0 = -7 + 3x Simplifying 0 = -7 + 3x 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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