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Simplifying (2x3 + 3)(2x3 + -3) = 0 Reorder the terms: (3 + 2x3)(2x3 + -3) = 0 Reorder the terms: (3 + 2x3)(-3 + 2x3) = 0 Multiply (3 + 2x3) * (-3 + 2x3) (3(-3 + 2x3) + 2x3 * (-3 + 2x3)) = 0 ((-3 * 3 + 2x3 * 3) + 2x3 * (-3 + 2x3)) = 0 ((-9 + 6x3) + 2x3 * (-3 + 2x3)) = 0 (-9 + 6x3 + (-3 * 2x3 + 2x3 * 2x3)) = 0 (-9 + 6x3 + (-6x3 + 4x6)) = 0 Combine like terms: 6x3 + -6x3 = 0 (-9 + 0 + 4x6) = 0 (-9 + 4x6) = 0 Solving -9 + 4x6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4x6 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x6 = 0 + 9 4x6 = 0 + 9 Combine like terms: 0 + 9 = 9 4x6 = 9 Divide each side by '4'. x6 = 2.25 Simplifying x6 = 2.25 Reorder the terms: -2.25 + x6 = 2.25 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 -2.25 + x6 = 0.00 Factor a difference between two squares. (1.5 + x3)(-1.5 + x3) = 0.00Subproblem 1
Set the factor '(1.5 + x3)' equal to zero and attempt to solve: Simplifying 1.5 + x3 = 0 Solving 1.5 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x3 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x3 = 0 + -1.5 x3 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 x3 = -1.5 Simplifying x3 = -1.5 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 '(-1.5 + x3)' equal to zero and attempt to solve: Simplifying -1.5 + x3 = 0 Solving -1.5 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x3 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x3 = 0 + 1.5 x3 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 x3 = 1.5 Simplifying x3 = 1.5 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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