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Simplifying (13x7 + -6)(-14x7 + 11) = 0 Reorder the terms: (-6 + 13x7)(-14x7 + 11) = 0 Reorder the terms: (-6 + 13x7)(11 + -14x7) = 0 Multiply (-6 + 13x7) * (11 + -14x7) (-6(11 + -14x7) + 13x7 * (11 + -14x7)) = 0 ((11 * -6 + -14x7 * -6) + 13x7 * (11 + -14x7)) = 0 ((-66 + 84x7) + 13x7 * (11 + -14x7)) = 0 (-66 + 84x7 + (11 * 13x7 + -14x7 * 13x7)) = 0 (-66 + 84x7 + (143x7 + -182x14)) = 0 Combine like terms: 84x7 + 143x7 = 227x7 (-66 + 227x7 + -182x14) = 0 Solving -66 + 227x7 + -182x14 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + 14x7)(6 + -13x7) = 0Subproblem 1
Set the factor '(-11 + 14x7)' equal to zero and attempt to solve: Simplifying -11 + 14x7 = 0 Solving -11 + 14x7 = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 14x7 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 14x7 = 0 + 11 14x7 = 0 + 11 Combine like terms: 0 + 11 = 11 14x7 = 11 Divide each side by '14'. x7 = 0.7857142857 Simplifying x7 = 0.7857142857 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 '(6 + -13x7)' equal to zero and attempt to solve: Simplifying 6 + -13x7 = 0 Solving 6 + -13x7 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -13x7 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -13x7 = 0 + -6 -13x7 = 0 + -6 Combine like terms: 0 + -6 = -6 -13x7 = -6 Divide each side by '-13'. x7 = 0.4615384615 Simplifying x7 = 0.4615384615 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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