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Simplifying (x)(x + 4) = 896 Reorder the terms: x(4 + x) = 896 (4 * x + x * x) = 896 (4x + x2) = 896 Solving 4x + x2 = 896 Solving for variable 'x'. Reorder the terms: -896 + 4x + x2 = 896 + -896 Combine like terms: 896 + -896 = 0 -896 + 4x + x2 = 0 Factor a trinomial. (-32 + -1x)(28 + -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 '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Solution
x = {-32, 28}
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