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Simplifying (5x + -7)(3x + 7) = 0 Reorder the terms: (-7 + 5x)(3x + 7) = 0 Reorder the terms: (-7 + 5x)(7 + 3x) = 0 Multiply (-7 + 5x) * (7 + 3x) (-7(7 + 3x) + 5x * (7 + 3x)) = 0 ((7 * -7 + 3x * -7) + 5x * (7 + 3x)) = 0 ((-49 + -21x) + 5x * (7 + 3x)) = 0 (-49 + -21x + (7 * 5x + 3x * 5x)) = 0 (-49 + -21x + (35x + 15x2)) = 0 Combine like terms: -21x + 35x = 14x (-49 + 14x + 15x2) = 0 Solving -49 + 14x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -3x)(7 + -5x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
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 = 1.4Solution
x = {-2.333333333, 1.4}
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