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Simplifying 144 = x(x + 7) Reorder the terms: 144 = x(7 + x) 144 = (7 * x + x * x) 144 = (7x + x2) Solving 144 = 7x + x2 Solving for variable 'x'. Reorder the terms: 144 + -7x + -1x2 = 7x + -7x + x2 + -1x2 Combine like terms: 7x + -7x = 0 144 + -7x + -1x2 = 0 + x2 + -1x2 144 + -7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 144 + -7x + -1x2 = 0 Factor a trinomial. (9 + -1x)(16 + x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Solution
x = {9, -16}
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