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Simplifying (5 + -1x)(7 + 3x) = 0 Multiply (5 + -1x) * (7 + 3x) (5(7 + 3x) + -1x * (7 + 3x)) = 0 ((7 * 5 + 3x * 5) + -1x * (7 + 3x)) = 0 ((35 + 15x) + -1x * (7 + 3x)) = 0 (35 + 15x + (7 * -1x + 3x * -1x)) = 0 (35 + 15x + (-7x + -3x2)) = 0 Combine like terms: 15x + -7x = 8x (35 + 8x + -3x2) = 0 Solving 35 + 8x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(7 + 3x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
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 = -2.333333333Solution
x = {5, -2.333333333}
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