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Simplifying factorx2(8x + 9)(8x + -9) = 0 Reorder the terms: acfortx2(9 + 8x)(8x + -9) = 0 Reorder the terms: acfortx2(9 + 8x)(-9 + 8x) = 0 Multiply (9 + 8x) * (-9 + 8x) acfortx2(9(-9 + 8x) + 8x * (-9 + 8x)) = 0 acfortx2((-9 * 9 + 8x * 9) + 8x * (-9 + 8x)) = 0 acfortx2((-81 + 72x) + 8x * (-9 + 8x)) = 0 acfortx2(-81 + 72x + (-9 * 8x + 8x * 8x)) = 0 acfortx2(-81 + 72x + (-72x + 64x2)) = 0 Combine like terms: 72x + -72x = 0 acfortx2(-81 + 0 + 64x2) = 0 acfortx2(-81 + 64x2) = 0 (-81 * acfortx2 + 64x2 * acfortx2) = 0 (-81acfortx2 + 64acfortx4) = 0 Solving -81acfortx2 + 64acfortx4 = 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), 'acfortx2'. acfortx2(-81 + 64x2) = 0 Factor a difference between two squares. acfortx2((9 + 8x)(-9 + 8x)) = 0Subproblem 1
Set the factor 'acfortx2' equal to zero and attempt to solve: Simplifying acfortx2 = 0 Solving acfortx2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acfortx2 = 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 '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Add '-8x' to each side of the equation. 8x + -8x = -9 + -8x Combine like terms: 8x + -8x = 0 0 = -9 + -8x Simplifying 0 = -9 + -8x 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 '(-9 + 8x)' equal to zero and attempt to solve: Simplifying -9 + 8x = 0 Solving -9 + 8x = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 0 + 9 8x = 0 + 9 Combine like terms: 0 + 9 = 9 8x = 9 Add '-8x' to each side of the equation. 8x + -8x = 9 + -8x Combine like terms: 8x + -8x = 0 0 = 9 + -8x Simplifying 0 = 9 + -8x 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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