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Simplifying Factor(2x + -7)(x + 8) = 0 Reorder the terms: acortF(-7 + 2x)(x + 8) = 0 Reorder the terms: acortF(-7 + 2x)(8 + x) = 0 Multiply (-7 + 2x) * (8 + x) acortF(-7(8 + x) + 2x * (8 + x)) = 0 acortF((8 * -7 + x * -7) + 2x * (8 + x)) = 0 acortF((-56 + -7x) + 2x * (8 + x)) = 0 acortF(-56 + -7x + (8 * 2x + x * 2x)) = 0 acortF(-56 + -7x + (16x + 2x2)) = 0 Combine like terms: -7x + 16x = 9x acortF(-56 + 9x + 2x2) = 0 (-56 * acortF + 9x * acortF + 2x2 * acortF) = 0 (-56acortF + 9acortxF + 2acortx2F) = 0 Solving -56acortF + 9acortxF + 2acortx2F = 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), 'acortF'. acortF(-56 + 9x + 2x2) = 0 Factor a trinomial. acortF((-8 + -1x)(7 + -2x)) = 0Subproblem 1
Set the factor 'acortF' equal to zero and attempt to solve: Simplifying acortF = 0 Solving acortF = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acortF = 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 '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Add 'x' to each side of the equation. -1x + x = 8 + x Combine like terms: -1x + x = 0 0 = 8 + x Simplifying 0 = 8 + x 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 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Add '2x' to each side of the equation. -2x + 2x = -7 + 2x Combine like terms: -2x + 2x = 0 0 = -7 + 2x Simplifying 0 = -7 + 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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