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Simplifying (3x4 + -4)(3x4 + 5) = 0 Reorder the terms: (-4 + 3x4)(3x4 + 5) = 0 Reorder the terms: (-4 + 3x4)(5 + 3x4) = 0 Multiply (-4 + 3x4) * (5 + 3x4) (-4(5 + 3x4) + 3x4 * (5 + 3x4)) = 0 ((5 * -4 + 3x4 * -4) + 3x4 * (5 + 3x4)) = 0 ((-20 + -12x4) + 3x4 * (5 + 3x4)) = 0 (-20 + -12x4 + (5 * 3x4 + 3x4 * 3x4)) = 0 (-20 + -12x4 + (15x4 + 9x8)) = 0 Combine like terms: -12x4 + 15x4 = 3x4 (-20 + 3x4 + 9x8) = 0 Solving -20 + 3x4 + 9x8 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -3x4)(4 + -3x4) = 0Subproblem 1
Set the factor '(-5 + -3x4)' equal to zero and attempt to solve: Simplifying -5 + -3x4 = 0 Solving -5 + -3x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x4 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x4 = 0 + 5 -3x4 = 0 + 5 Combine like terms: 0 + 5 = 5 -3x4 = 5 Divide each side by '-3'. x4 = -1.666666667 Simplifying x4 = -1.666666667 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 '(4 + -3x4)' equal to zero and attempt to solve: Simplifying 4 + -3x4 = 0 Solving 4 + -3x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x4 = 0 + -4 -3x4 = 0 + -4 Combine like terms: 0 + -4 = -4 -3x4 = -4 Divide each side by '-3'. x4 = 1.333333333 Simplifying x4 = 1.333333333 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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