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Simplifying in(3x2 + -2) = in(-6x2 + 2) Reorder the terms: in(-2 + 3x2) = in(-6x2 + 2) (-2 * in + 3x2 * in) = in(-6x2 + 2) (-2in + 3inx2) = in(-6x2 + 2) Reorder the terms: -2in + 3inx2 = in(2 + -6x2) -2in + 3inx2 = (2 * in + -6x2 * in) -2in + 3inx2 = (2in + -6inx2) Solving -2in + 3inx2 = 2in + -6inx2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2in' to each side of the equation. -2in + -2in + 3inx2 = 2in + -2in + -6inx2 Combine like terms: -2in + -2in = -4in -4in + 3inx2 = 2in + -2in + -6inx2 Combine like terms: 2in + -2in = 0 -4in + 3inx2 = 0 + -6inx2 -4in + 3inx2 = -6inx2 Add '6inx2' to each side of the equation. -4in + 3inx2 + 6inx2 = -6inx2 + 6inx2 Combine like terms: 3inx2 + 6inx2 = 9inx2 -4in + 9inx2 = -6inx2 + 6inx2 Combine like terms: -6inx2 + 6inx2 = 0 -4in + 9inx2 = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(-4 + 9x2) = 0 Factor a difference between two squares. in((2 + 3x)(-2 + 3x)) = 0Subproblem 1
Set the factor 'in' equal to zero and attempt to solve: Simplifying in = 0 Solving in = 0 Move all terms containing i to the left, all other terms to the right. Simplifying in = 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 '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Add '-3x' to each side of the equation. 3x + -3x = -2 + -3x Combine like terms: 3x + -3x = 0 0 = -2 + -3x Simplifying 0 = -2 + -3x 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 '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Add '-3x' to each side of the equation. 3x + -3x = 2 + -3x Combine like terms: 3x + -3x = 0 0 = 2 + -3x Simplifying 0 = 2 + -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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