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Simplifying (3x + -5)(5x + 7) = 0 Reorder the terms: (-5 + 3x)(5x + 7) = 0 Reorder the terms: (-5 + 3x)(7 + 5x) = 0 Multiply (-5 + 3x) * (7 + 5x) (-5(7 + 5x) + 3x * (7 + 5x)) = 0 ((7 * -5 + 5x * -5) + 3x * (7 + 5x)) = 0 ((-35 + -25x) + 3x * (7 + 5x)) = 0 (-35 + -25x + (7 * 3x + 5x * 3x)) = 0 (-35 + -25x + (21x + 15x2)) = 0 Combine like terms: -25x + 21x = -4x (-35 + -4x + 15x2) = 0 Solving -35 + -4x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -5x)(5 + -3x) = 0Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 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 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 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 = {-1.4, 1.666666667}
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