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Simplifying x2 + 4x + 4 = 729 Reorder the terms: 4 + 4x + x2 = 729 Solving 4 + 4x + x2 = 729 Solving for variable 'x'. Reorder the terms: 4 + -729 + 4x + x2 = 729 + -729 Combine like terms: 4 + -729 = -725 -725 + 4x + x2 = 729 + -729 Combine like terms: 729 + -729 = 0 -725 + 4x + x2 = 0 Factor a trinomial. (-29 + -1x)(25 + -1x) = 0Subproblem 1
Set the factor '(-29 + -1x)' equal to zero and attempt to solve: Simplifying -29 + -1x = 0 Solving -29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = 0 + 29 -1x = 0 + 29 Combine like terms: 0 + 29 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {-29, 25}
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