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Simplifying 7x2 + 10x + -125 = 0 Reorder the terms: -125 + 10x + 7x2 = 0 Solving -125 + 10x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(25 + -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 '(25 + -7x)' equal to zero and attempt to solve: Simplifying 25 + -7x = 0 Solving 25 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -7x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -7x = 0 + -25 -7x = 0 + -25 Combine like terms: 0 + -25 = -25 -7x = -25 Divide each side by '-7'. x = 3.571428571 Simplifying x = 3.571428571Solution
x = {-5, 3.571428571}
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