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Simplifying 7x2 + 23x + 6x + -17 + -13 = 0 Reorder the terms: -17 + -13 + 23x + 6x + 7x2 = 0 Combine like terms: -17 + -13 = -30 -30 + 23x + 6x + 7x2 = 0 Combine like terms: 23x + 6x = 29x -30 + 29x + 7x2 = 0 Solving -30 + 29x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(6 + -7x) = 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 '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {-5, 0.8571428571}
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