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Simplifying 4x2 + 160x + 1600 = 1296 Reorder the terms: 1600 + 160x + 4x2 = 1296 Solving 1600 + 160x + 4x2 = 1296 Solving for variable 'x'. Reorder the terms: 1600 + -1296 + 160x + 4x2 = 1296 + -1296 Combine like terms: 1600 + -1296 = 304 304 + 160x + 4x2 = 1296 + -1296 Combine like terms: 1296 + -1296 = 0 304 + 160x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(76 + 40x + x2) = 0 Factor a trinomial. 4((38 + x)(2 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(38 + x)' equal to zero and attempt to solve: Simplifying 38 + x = 0 Solving 38 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + x = 0 + -38 x = 0 + -38 Combine like terms: 0 + -38 = -38 x = -38 Simplifying x = -38Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-38, -2}
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