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Simplifying x2 + -77x + 1393 = -47 Reorder the terms: 1393 + -77x + x2 = -47 Solving 1393 + -77x + x2 = -47 Solving for variable 'x'. Reorder the terms: 1393 + 47 + -77x + x2 = -47 + 47 Combine like terms: 1393 + 47 = 1440 1440 + -77x + x2 = -47 + 47 Combine like terms: -47 + 47 = 0 1440 + -77x + x2 = 0 Factor a trinomial. (32 + -1x)(45 + -1x) = 0Subproblem 1
Set the factor '(32 + -1x)' equal to zero and attempt to solve: Simplifying 32 + -1x = 0 Solving 32 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -1x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 0 + -32 -1x = 0 + -32 Combine like terms: 0 + -32 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32Subproblem 2
Set the factor '(45 + -1x)' equal to zero and attempt to solve: Simplifying 45 + -1x = 0 Solving 45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 0 + -45 -1x = 0 + -45 Combine like terms: 0 + -45 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45Solution
x = {32, 45}
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