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Simplifying (3x + 5)(7x + -2) = 0 Reorder the terms: (5 + 3x)(7x + -2) = 0 Reorder the terms: (5 + 3x)(-2 + 7x) = 0 Multiply (5 + 3x) * (-2 + 7x) (5(-2 + 7x) + 3x * (-2 + 7x)) = 0 ((-2 * 5 + 7x * 5) + 3x * (-2 + 7x)) = 0 ((-10 + 35x) + 3x * (-2 + 7x)) = 0 (-10 + 35x + (-2 * 3x + 7x * 3x)) = 0 (-10 + 35x + (-6x + 21x2)) = 0 Combine like terms: 35x + -6x = 29x (-10 + 29x + 21x2) = 0 Solving -10 + 29x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -3x)(2 + -7x) = 0Subproblem 1
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 = -1.666666667Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {-1.666666667, 0.2857142857}
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