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Simplifying x2 + -3x + -4030 = 0 Reorder the terms: -4030 + -3x + x2 = 0 Solving -4030 + -3x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-62 + -1x)(65 + -1x) = 0Subproblem 1
Set the factor '(-62 + -1x)' equal to zero and attempt to solve: Simplifying -62 + -1x = 0 Solving -62 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -1x = 0 + 62 Combine like terms: -62 + 62 = 0 0 + -1x = 0 + 62 -1x = 0 + 62 Combine like terms: 0 + 62 = 62 -1x = 62 Divide each side by '-1'. x = -62 Simplifying x = -62Subproblem 2
Set the factor '(65 + -1x)' equal to zero and attempt to solve: Simplifying 65 + -1x = 0 Solving 65 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -1x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -1x = 0 + -65 -1x = 0 + -65 Combine like terms: 0 + -65 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65Solution
x = {-62, 65}
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