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Simplifying 7x2 + -34x + -105 = 0 Reorder the terms: -105 + -34x + 7x2 = 0 Solving -105 + -34x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -7x)(7 + -1x) = 0Subproblem 1
Set the factor '(-15 + -7x)' equal to zero and attempt to solve: Simplifying -15 + -7x = 0 Solving -15 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -7x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 0 + 15 -7x = 0 + 15 Combine like terms: 0 + 15 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-2.142857143, 7}
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