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Simplifying (3x + -5)(9x + -7) = 0 Reorder the terms: (-5 + 3x)(9x + -7) = 0 Reorder the terms: (-5 + 3x)(-7 + 9x) = 0 Multiply (-5 + 3x) * (-7 + 9x) (-5(-7 + 9x) + 3x * (-7 + 9x)) = 0 ((-7 * -5 + 9x * -5) + 3x * (-7 + 9x)) = 0 ((35 + -45x) + 3x * (-7 + 9x)) = 0 (35 + -45x + (-7 * 3x + 9x * 3x)) = 0 (35 + -45x + (-21x + 27x2)) = 0 Combine like terms: -45x + -21x = -66x (35 + -66x + 27x2) = 0 Solving 35 + -66x + 27x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -9x)(5 + -3x) = 0Subproblem 1
Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 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 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0.7777777778, 1.666666667}
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