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Simplifying 696 = x2 + 5x Reorder the terms: 696 = 5x + x2 Solving 696 = 5x + x2 Solving for variable 'x'. Reorder the terms: 696 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 696 + -5x + -1x2 = 0 + x2 + -1x2 696 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 696 + -5x + -1x2 = 0 Factor a trinomial. (24 + -1x)(29 + x) = 0Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Subproblem 2
Set the factor '(29 + x)' equal to zero and attempt to solve: Simplifying 29 + x = 0 Solving 29 + x = 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 + x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + x = 0 + -29 x = 0 + -29 Combine like terms: 0 + -29 = -29 x = -29 Simplifying x = -29Solution
x = {24, -29}
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