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Simplifying x2 + 6x + 10 = 65 Reorder the terms: 10 + 6x + x2 = 65 Solving 10 + 6x + x2 = 65 Solving for variable 'x'. Reorder the terms: 10 + -65 + 6x + x2 = 65 + -65 Combine like terms: 10 + -65 = -55 -55 + 6x + x2 = 65 + -65 Combine like terms: 65 + -65 = 0 -55 + 6x + x2 = 0 Factor a trinomial. (-11 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
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 = 5Solution
x = {-11, 5}
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