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Simplifying (3x4 + -2)(5x4 + 7) = 0 Reorder the terms: (-2 + 3x4)(5x4 + 7) = 0 Reorder the terms: (-2 + 3x4)(7 + 5x4) = 0 Multiply (-2 + 3x4) * (7 + 5x4) (-2(7 + 5x4) + 3x4 * (7 + 5x4)) = 0 ((7 * -2 + 5x4 * -2) + 3x4 * (7 + 5x4)) = 0 ((-14 + -10x4) + 3x4 * (7 + 5x4)) = 0 (-14 + -10x4 + (7 * 3x4 + 5x4 * 3x4)) = 0 (-14 + -10x4 + (21x4 + 15x8)) = 0 Combine like terms: -10x4 + 21x4 = 11x4 (-14 + 11x4 + 15x8) = 0 Solving -14 + 11x4 + 15x8 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -5x4)(2 + -3x4) = 0Subproblem 1
Set the factor '(-7 + -5x4)' equal to zero and attempt to solve: Simplifying -7 + -5x4 = 0 Solving -7 + -5x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5x4 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x4 = 0 + 7 -5x4 = 0 + 7 Combine like terms: 0 + 7 = 7 -5x4 = 7 Divide each side by '-5'. x4 = -1.4 Simplifying x4 = -1.4 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 + -3x4)' equal to zero and attempt to solve: Simplifying 2 + -3x4 = 0 Solving 2 + -3x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x4 = 0 + -2 -3x4 = 0 + -2 Combine like terms: 0 + -2 = -2 -3x4 = -2 Divide each side by '-3'. x4 = 0.6666666667 Simplifying x4 = 0.6666666667 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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