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Simplifying x2 = 4(x + 224) Reorder the terms: x2 = 4(224 + x) x2 = (224 * 4 + x * 4) x2 = (896 + 4x) Solving x2 = 896 + 4x Solving for variable 'x'. Reorder the terms: -896 + -4x + x2 = 896 + 4x + -896 + -4x Reorder the terms: -896 + -4x + x2 = 896 + -896 + 4x + -4x Combine like terms: 896 + -896 = 0 -896 + -4x + x2 = 0 + 4x + -4x -896 + -4x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -896 + -4x + x2 = 0 Factor a trinomial. (-28 + -1x)(32 + -1x) = 0Subproblem 1
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 = -28Subproblem 2
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 = 32Solution
x = {-28, 32}
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