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Simplifying x2 + 6x + -1435 = 0 Reorder the terms: -1435 + 6x + x2 = 0 Solving -1435 + 6x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-41 + -1x)(35 + -1x) = 0Subproblem 1
Set the factor '(-41 + -1x)' equal to zero and attempt to solve: Simplifying -41 + -1x = 0 Solving -41 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -1x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -1x = 0 + 41 -1x = 0 + 41 Combine like terms: 0 + 41 = 41 -1x = 41 Divide each side by '-1'. x = -41 Simplifying x = -41Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve: Simplifying 35 + -1x = 0 Solving 35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 0 + -35 -1x = 0 + -35 Combine like terms: 0 + -35 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35Solution
x = {-41, 35}
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