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Simplifying 0 = 4x2 + 380x + 8400 Reorder the terms: 0 = 8400 + 380x + 4x2 Solving 0 = 8400 + 380x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -8400 = -8400 -8400 + -380x + -4x2 = 8400 + 380x + 4x2 + -8400 + -380x + -4x2 Reorder the terms: -8400 + -380x + -4x2 = 8400 + -8400 + 380x + -380x + 4x2 + -4x2 Combine like terms: 8400 + -8400 = 0 -8400 + -380x + -4x2 = 0 + 380x + -380x + 4x2 + -4x2 -8400 + -380x + -4x2 = 380x + -380x + 4x2 + -4x2 Combine like terms: 380x + -380x = 0 -8400 + -380x + -4x2 = 0 + 4x2 + -4x2 -8400 + -380x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8400 + -380x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(2100 + 95x + x2) = 0 Factor a trinomial. -4((60 + x)(35 + x)) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(60 + x)' equal to zero and attempt to solve: Simplifying 60 + x = 0 Solving 60 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + x = 0 + -60 x = 0 + -60 Combine like terms: 0 + -60 = -60 x = -60 Simplifying x = -60Subproblem 2
Set the factor '(35 + x)' equal to zero and attempt to solve: Simplifying 35 + x = 0 Solving 35 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + x = 0 + -35 x = 0 + -35 Combine like terms: 0 + -35 = -35 x = -35 Simplifying x = -35Solution
x = {-60, -35}
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