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Simplifying (7x + -3)(3x + -5) = 0 Reorder the terms: (-3 + 7x)(3x + -5) = 0 Reorder the terms: (-3 + 7x)(-5 + 3x) = 0 Multiply (-3 + 7x) * (-5 + 3x) (-3(-5 + 3x) + 7x * (-5 + 3x)) = 0 ((-5 * -3 + 3x * -3) + 7x * (-5 + 3x)) = 0 ((15 + -9x) + 7x * (-5 + 3x)) = 0 (15 + -9x + (-5 * 7x + 3x * 7x)) = 0 (15 + -9x + (-35x + 21x2)) = 0 Combine like terms: -9x + -35x = -44x (15 + -44x + 21x2) = 0 Solving 15 + -44x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -7x)(5 + -3x) = 0Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Subproblem 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 = {0.4285714286, 1.666666667}
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