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Simplifying x2 + 10x + -12 = 3563 Reorder the terms: -12 + 10x + x2 = 3563 Solving -12 + 10x + x2 = 3563 Solving for variable 'x'. Reorder the terms: -12 + -3563 + 10x + x2 = 3563 + -3563 Combine like terms: -12 + -3563 = -3575 -3575 + 10x + x2 = 3563 + -3563 Combine like terms: 3563 + -3563 = 0 -3575 + 10x + x2 = 0 Factor a trinomial. (-65 + -1x)(55 + -1x) = 0Subproblem 1
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 = -65Subproblem 2
Set the factor '(55 + -1x)' equal to zero and attempt to solve: Simplifying 55 + -1x = 0 Solving 55 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -1x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -1x = 0 + -55 -1x = 0 + -55 Combine like terms: 0 + -55 = -55 -1x = -55 Divide each side by '-1'. x = 55 Simplifying x = 55Solution
x = {-65, 55}
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