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Simplifying (9 + x)(3x + -7) = 0 Reorder the terms: (9 + x)(-7 + 3x) = 0 Multiply (9 + x) * (-7 + 3x) (9(-7 + 3x) + x(-7 + 3x)) = 0 ((-7 * 9 + 3x * 9) + x(-7 + 3x)) = 0 ((-63 + 27x) + x(-7 + 3x)) = 0 (-63 + 27x + (-7 * x + 3x * x)) = 0 (-63 + 27x + (-7x + 3x2)) = 0 Combine like terms: 27x + -7x = 20x (-63 + 20x + 3x2) = 0 Solving -63 + 20x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(7 + -3x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 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 = {-9, 2.333333333}
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