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Simplifying 1872 = (16 + x) * x Reorder the terms for easier multiplication: 1872 = x(16 + x) 1872 = (16 * x + x * x) 1872 = (16x + x2) Solving 1872 = 16x + x2 Solving for variable 'x'. Reorder the terms: 1872 + -16x + -1x2 = 16x + -16x + x2 + -1x2 Combine like terms: 16x + -16x = 0 1872 + -16x + -1x2 = 0 + x2 + -1x2 1872 + -16x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1872 + -16x + -1x2 = 0 Factor a trinomial. (36 + -1x)(52 + x) = 0Subproblem 1
Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Subproblem 2
Set the factor '(52 + x)' equal to zero and attempt to solve: Simplifying 52 + x = 0 Solving 52 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + x = 0 + -52 x = 0 + -52 Combine like terms: 0 + -52 = -52 x = -52 Simplifying x = -52Solution
x = {36, -52}
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