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Simplifying (5x + -3)(2 + -7x) = 0 Reorder the terms: (-3 + 5x)(2 + -7x) = 0 Multiply (-3 + 5x) * (2 + -7x) (-3(2 + -7x) + 5x * (2 + -7x)) = 0 ((2 * -3 + -7x * -3) + 5x * (2 + -7x)) = 0 ((-6 + 21x) + 5x * (2 + -7x)) = 0 (-6 + 21x + (2 * 5x + -7x * 5x)) = 0 (-6 + 21x + (10x + -35x2)) = 0 Combine like terms: 21x + 10x = 31x (-6 + 31x + -35x2) = 0 Solving -6 + 31x + -35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + 5x)(2 + -7x) = 0Subproblem 1
Set the factor '(-3 + 5x)' equal to zero and attempt to solve: Simplifying -3 + 5x = 0 Solving -3 + 5x = 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 + 5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 0 + 3 5x = 0 + 3 Combine like terms: 0 + 3 = 3 5x = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6Subproblem 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 = {0.6, 0.2857142857}
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