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Simplifying -7x2 + -3x + 72 = 0 Reorder the terms: 72 + -3x + -7x2 = 0 Solving 72 + -3x + -7x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(24 + 7x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(24 + 7x)' equal to zero and attempt to solve: Simplifying 24 + 7x = 0 Solving 24 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 7x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 0 + -24 7x = 0 + -24 Combine like terms: 0 + -24 = -24 7x = -24 Divide each side by '7'. x = -3.428571429 Simplifying x = -3.428571429Solution
x = {3, -3.428571429}
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